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Article
Publication date: 16 November 2015

Data envelopment analysis with interactive variables

Aibing Ji, Hui Liu, Hong-jie Qiu and Haobo Lin

– The purpose of this paper is to build a novel data envelopment analysis (DEA) model to evaluate the efficiencies of decision making units (DMUs).

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Abstract

Purpose

The purpose of this paper is to build a novel data envelopment analysis (DEA) model to evaluate the efficiencies of decision making units (DMUs).

Design/methodology/approach

Using the Choquet integrals as aggregating tool, the authors give a novel DEA model to evaluate the efficiencies of DMUs.

Findings

It extends DEA model to evaluate the DMU with interactive variables (inputs or outputs), the classical DEA model is a special form. At last, the authors use the numerical examples to illustrate the performance of the proposed model.

Practical implications

The proposed DEA model can be used to evaluate the efficiency of the DMUs with multiple interactive inputs and outputs.

Originality/value

This paper introduce a new DEA model to evaluate the DMU with interactive variables (inputs or outputs), the classical DEA model is a special form.

Details

Management Decision, vol. 53 no. 10
Type: Research Article
DOI: https://doi.org/10.1108/MD-11-2014-0631
ISSN: 0025-1747

Keywords

  • Data envelopment analysis
  • Choquet integrals
  • Efficiency evaluation
  • Interactive variables

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Article
Publication date: 2 November 2015

Attitudinal ranking and correlated aggregating methods for multiple attribute group decision making with triangular intuitionistic fuzzy Choquet integral

Yujia Liu, Jian Wu and Changyong Liang

The purpose of this paper is to propose novel attitudinal prioritization and correlated aggregating methods for multiple attribute group decision making (MAGDM) with…

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Abstract

Purpose

The purpose of this paper is to propose novel attitudinal prioritization and correlated aggregating methods for multiple attribute group decision making (MAGDM) with triangular intuitionistic fuzzy Choquet integral.

Design/methodology/approach

Based on the continuous ordered weighted average (COWA) operator, the triangular fuzzy COWA (TF-COWA) operator is defined, and then a novel attitudinal expected score function for triangular intuitionistic fuzzy numbers (TIFNs) is investigated. The novelty of this function is that it allows the prioritization of TIFNs by taking account of the expert’s attitudinal character. When the ranking order of TIFNs is determined, the triangular intuitionistic fuzzy correlated geometric (TIFCG) operator and the induced TIFCG (I-TIFCG) operator are developed.

Findings

Their use is twofold: first, the TIFCG operator is used to aggregate the correlative attribute value; and second, the I-TIFCG operator is designed to aggregate the preferences of experts with some degree of inter-dependent. Then, a TIFCG and I-TIFCG operators-based approach is presented for correlative MAGDM problems. Finally, the propose method is applied to select investment projects.

Originality/value

Based on the TIFCG and I-TIFCG operators, this paper proposes a novel correlated aggregating methods for MAGDM with triangular intuitionistic fuzzy Choquet integral. This method helps to solve the correlated attribute (criteria) relationship. Furthermore, by the attitudinal expected score functions of TIFNs, the propose method can reflect decision maker’s risk attitude in the final decision result.

Details

Kybernetes, vol. 44 no. 10
Type: Research Article
DOI: https://doi.org/10.1108/K-02-2014-0040
ISSN: 0368-492X

Keywords

  • Decision making
  • Operational research

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Article
Publication date: 2 September 2019

Public resources allocation using an uncertain cooperative game among vulnerable groups

Pei Liang, Junhua Hu, Yongmei Liu and Xiaohong Chen

This paper aims to solve the problem of public resource allocation among vulnerable groups by proposing a new method called uncertain α-coordination value based on…

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Abstract

Purpose

This paper aims to solve the problem of public resource allocation among vulnerable groups by proposing a new method called uncertain α-coordination value based on uncertain cooperative game.

Design/methodology/approach

First, explicit forms of uncertain Shapley value with Chouqet integral form and uncertain centre-of-gravity of imputation-set (CIS) value are defined separately on the basis of uncertainty theory and cooperative game. Then, a convex combination of the two values above called the uncertain α-coordination value is used as the best solution. This study proves that the proposed methods meet the basic properties of cooperative game.

Findings

The uncertain α-coordination value is used to solve a public medical resource allocation problem in fuzzy coalitions and uncertain payoffs. Compared with other methods, the α-coordination value can solve such problem effectively because it balances the worries of vulnerable group’s further development and group fairness.

Originality/value

In this paper, an extension of classical cooperative game called uncertain cooperative game is proposed, in which players choose any level of participation in a game and relate uncertainty with the value of the game. A new function called uncertain α-Coordination value is proposed to allocate public resources amongst vulnerable groups in an uncertain environment, a topic that has not been explored yet. The definitions of uncertain Shapley value with Choquet integral form and uncertain CIS value are proposed separately to establish uncertain α-Coordination value.

Details

Kybernetes, vol. 48 no. 8
Type: Research Article
DOI: https://doi.org/10.1108/K-03-2018-0146
ISSN: 0368-492X

Keywords

  • Vulnerable groups
  • Shapley value
  • Choquet integral
  • CIS value
  • Public resources allocation
  • Uncertain value

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Article
Publication date: 6 May 2014

Fuzzy integral-based emotion inference on personalized V-A emotional space

Il-Kyoung Kwon and Sang-Yong Lee

The focus in ICT development has shifted from performance to maximization of tangibility. In particular, the interests in emotion-based services increase and more…

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Abstract

Purpose

The focus in ICT development has shifted from performance to maximization of tangibility. In particular, the interests in emotion-based services increase and more attention is paid to improving the quality of service and maximizing tangibility. Hence, it is necessary to model human emotions and utilize inferred emotions for services in order to enhance the quality of emotion-based personalized services. To this end, this study aims to model personalized emotional space by means of V-A emotion model and to suggest a fuzzy-based emotion inference method.

Design/methodology/approach

This study takes advantage of V-A emotion model, AHP and fuzzy integral technique to implement an emotion inference based on the quantitative evaluation and systematic expression of human emotions. By means of AHP, the personalized V-A emotion model was established. Fuzzy measure and Choquet integral methods were applied for emotion inference based on the inputs of valence and arousal (V-A) values, with the results evaluated in an experiment.

Findings

Thayer's emotion model structures 12 human emotions in reference to V-A values. This structure, however, may differ depending on individuals, and thus a method to measure and express it appropriately is necessary. This study evaluates the relative weight of 12 emotions based on AHP and regularizes them to compose the personalized V-A emotional space by drafting the V-A model. In addition, fuzzy integral-based emotion inference has been tested in reference to the V-A values on the established V-A emotion space.

Originality/value

Fuzzy integral-based emotion inference has been tested in reference to the V-A values on the established personalized emotion space.

Details

Journal of Systems and Information Technology, vol. 16 no. 2
Type: Research Article
DOI: https://doi.org/10.1108/JSIT-11-2013-0057
ISSN: 1328-7265

Keywords

  • Emotion inference
  • Emotion modeling
  • Fuzzy integral
  • Fuzzy measure

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Article
Publication date: 1 March 2002

Using fuzzy approaches to evaluate quality improvement alternative based on quality costs

Liang‐Hsuan Chen and Ming‐Chu Weng

Quality cost is usually considered as a means to measure the quality level in a quality system. Since the interrelationship among quality cost components is complex, a…

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Abstract

Quality cost is usually considered as a means to measure the quality level in a quality system. Since the interrelationship among quality cost components is complex, a general quantitative model for describing their relationship is not easy to construct for improving the quality. In the assessments of quality cost, some hidden quality costs, such as the goodwill loss due to lost customers’ reliability, are often neglected in the existing analysis methods. This may lead to reaching a sub‐optimal decision. In addition, the assessments of quantitative quality cost items are usually approximated, and therefore are imprecise in nature. Based on these considerations, we propose fuzzy approaches to evaluate quality improvement alternatives because of its fuzzy nature. An evidence fusion technique, namely Choquet fuzzy integral, is employed to aggregate the quality cost information. A composite index is determined to find the best quality improvement alternative. Finally, a numerical example is used to demonstrate the applicability of the approach.

Details

International Journal of Quality & Reliability Management, vol. 19 no. 2
Type: Research Article
DOI: https://doi.org/10.1108/02656710210413471
ISSN: 0265-671X

Keywords

  • Kaizen
  • Cost of quality
  • Fuzzy logics

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Article
Publication date: 10 August 2012

Using multi‐criteria analysis to prioritize stakeholders

Hakim Bendjenna, Pierre‐Jean Charre and Nacer Eddine Zarour

Many problems in science and engineering fields involve decision making. Usually these decision‐making processes are based on several criteria that represent various…

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Abstract

Purpose

Many problems in science and engineering fields involve decision making. Usually these decision‐making processes are based on several criteria that represent various experts' knowledge. Stakeholder prioritization is useful for assisting in decision‐making situations where various stakeholders have competing interests, resources are limited, and stakeholder requirements must be appropriately balanced. When these conflicts arise it is important to the success of the organization that it has prioritized each stakeholder according to the situation. To date, few researchers tried to resolve this question, mostly are based on intuitive and very simple reasoning methods which are error prone. The purpose of this paper is to propose a multi‐criteria decision analysis process to help decision makers when evaluating and prioritizing stakeholders.

Design/methodology/approach

In this process, Mitchell et al.'s model is used for identifying criteria on which stakeholders will be evaluated and the fuzzy Choquet integral as an aggregation operator. This research also tested and discussed the proposal using a case study from Toulouse city subway.

Findings

The results show the applicability of this process and the effectiveness of using the fuzzy Choquet integral than a traditional multi‐criteria evaluation method for human subjective evaluation, or when criteria are not mutually independent.

Research limitations/implications

The highly subjective nature of criteria weights and rapid elicitation can lead to questions of validity. Also, results are not always widely accepted.

Originality/value

The paper is original in considering the stakeholder prioritization problem as a multi‐criteria decision analysis problem; using a simple and well‐known model to classify stakeholders, i.e Mitchell et al.'s model; and in using Choquet integral as an aggregation operator which allows considering interaction between criteria.

Details

Journal of Systems and Information Technology, vol. 14 no. 3
Type: Research Article
DOI: https://doi.org/10.1108/13287261211255365
ISSN: 1328-7265

Keywords

  • Stakeholder analysis
  • Decision making
  • Stakeholder prioritization
  • Stakeholder ranking
  • Decision analysis
  • Choquet integral

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Article
Publication date: 6 January 2021

Probabilistic uncertain linguistic TODIM method based on the generalized Choquet integral and its application

Xu Xiuqin, Xie Jialiang, Yue Na and Wang Honghui

The purpose of this paper is to develop a probabilistic uncertain linguistic (PUL) TODIM method based on the generalized Choquet integral, with respect to the…

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Abstract

Purpose

The purpose of this paper is to develop a probabilistic uncertain linguistic (PUL) TODIM method based on the generalized Choquet integral, with respect to the interdependencies between criteria, for the selection of the best alternate in the context of multiple criteria group decision-making (MCGDM).

Design/methodology/approach

Owing to decision makers (DMs) do not always show completely rational and may have the preference of bounded rational behavior, this may affect the result of the MCGDM. At the same time, criteria interaction is a focused issue in MCGDM. Hence, a novel TODIM method based on the generalized Choquet integral selects the best alternate using PUL evaluation, where the generalized Choquet integral is used to calculate the weight of criterion. The generalized PUL distance measure between two probabilistic uncertain linguistic elements (PULEs) is calculated and the perceived dominance degree matrices for each alternate relative to other alternates are obtained. Furthermore, the comprehensive perceived dominance degree of each alternate can be calculated to get the ranking.

Findings

Potential application of the PUL-TODIM method is demonstrated through an evaluation example with sensitivity and comparative analysis.

Originality/value

As per author's concern, there are no TODIM methods with probabilistic uncertain linguistic sets (PULTSs) to solve MCGDM problems under uncertainty. Compared with the result of existing methods, the final judgment value of alternates using the extended TODIM methodology is highly corroborated, which proves its potential in solving MCGDM problems under qualitative and quantitative environments.

Details

International Journal of Intelligent Computing and Cybernetics, vol. ahead-of-print no. ahead-of-print
Type: Research Article
DOI: https://doi.org/10.1108/IJICC-09-2020-0108
ISSN: 1756-378X

Keywords

  • Probabilistic uncertain linguistic term set
  • Interactive criteria
  • Probabilistic uncertain linguistic TODIM method
  • The generalized Choquet integral

Content available
Article
Publication date: 13 June 2020

Meta measurement of intelligence with crowd network

Zheming Yang and Wen Ji

The multiple factors of intelligence measurement are critical in intelligent science. The intelligence measurement is typically built as a model based on multiple factors…

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Abstract

Purpose

The multiple factors of intelligence measurement are critical in intelligent science. The intelligence measurement is typically built as a model based on multiple factors. The different agent is generally difficult to measure because of the uncertainty between multiple factors. The purpose of this paper is to solve the problem of uncertainty between multiple factors and propose an effective method for universal intelligence measurement for the different agents.

Design/methodology/approach

In this paper, the authors propose a universal intelligence measurement method based on meta-analysis for crowd network. First, the authors get study data through keywords in the database and delete the low-quality data. Second, they compute the effect value by odds ratio, relative risk and risk difference. Then, they test the homogeneity by Q-test and analyze the bias by funnel plots. Third, they select the fixed effect and random effect as a statistical model. Finally, through the meta-analysis of time, complexity and reward, the weight of each factor in the intelligence measurement is obtained and then the meta measurement model is constructed.

Findings

This paper studies the relationship among time, complexity and reward through meta-analysis and effectively combines the measurement of heterogeneous agents such as human, machine, enterprise, government and institution.

Originality/value

This paper provides a universal intelligence measurement model for crowd network. And it can provide a theoretical basis for the research of crowd science.

Details

International Journal of Crowd Science, vol. 4 no. 3
Type: Research Article
DOI: https://doi.org/10.1108/IJCS-03-2020-0008
ISSN: 2398-7294

Keywords

  • Citizen science
  • Models and methods for crowd science and engineering
  • Crowd network
  • Meta-analysis
  • Intelligence
  • Measurement

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Article
Publication date: 4 January 2013

Multi‐criteria decision making in creative problem solving

Vesna Čančer and Matjaž Mulej

The purpose of this paper is to present the adapted model per phases of the creative problem solving (CPS) process, where multi‐criteria decision making (MCDM) methods are…

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Abstract

Purpose

The purpose of this paper is to present the adapted model per phases of the creative problem solving (CPS) process, where multi‐criteria decision making (MCDM) methods are used in the decision‐making phase. Also, to adapt and complete the steps of the six‐question technique, in order to establish the criteria's importance.

Design/methodology/approach

The framework procedure of MCDM, together with the Dialectical Systems Theory's guidelines when solving complex problems has already been introduced. The procedure was well‐verified in practice, but lacked the support of creative qualitative techniques in defining problems, and in generating and choosing alternatives. To eliminate this deficiency, in terms of prescriptive approach, the authors adapted the phases of the CPS process, where MCDM methods are used when choosing alternatives, and completed the steps of the six‐question technique to establish the criteria weights. The discrete Choquet integral was used to consider interactions among criteria.

Findings

The article shows that creative approaches are not limited to merely problem definitions and problem structuring. They can also be used in typically analytical steps in the framework procedure.

Research limitations/implications

The completed and adapted phases of the CPS process can allow the mutual assistance of creative and decision‐making methods when solving problems – a step forward to holism.

Practical implications

This article develops and introduces the use of the six‐question technique, in the establishment of criteria weights.

Originality/value

The innovative aspect of this article is that it adapts and completes the CPS process so that MCDM methods can be used when choosing alternatives. It extends the use of creative approaches to typically analytical steps of MCDM, where synergies and redundancies among criteria are considered.

Details

Kybernetes, vol. 42 no. 1
Type: Research Article
DOI: https://doi.org/10.1108/03684921311295484
ISSN: 0368-492X

Keywords

  • Problem solving
  • Decision making
  • Creativity
  • Operational research
  • Systemic thinking
  • Information technology

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Article
Publication date: 4 September 2017

Multi-agent target searching with time constraints using game-theoretic approaches

Tanmoy Hazra, C.R.S. Kumar and Manisha Nene

The purpose of this paper is to propose a model for a target searching problem in a two-dimensional region with time constraints. The proposed model facilitates the search…

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Abstract

Purpose

The purpose of this paper is to propose a model for a target searching problem in a two-dimensional region with time constraints. The proposed model facilitates the search operation by minimizing the mission time and fuel usage, and the search operation is performed by a set of agents divided into a number of groups.

Design/methodology/approach

The authors have applied optimization techniques, Cartesian product, inclusion–exclusion principle, cooperative strategy, Shapley value, fuzzy Shapley function and Choquet integral to model the problem.

Findings

The proposed technique optimizes the placement of base stations that minimizes the sortie length of the agents. The results show that the cooperative strategy outperforms the non-cooperative strategy. The Shapley values quantify the rewards of each group based on their contributions to the search operation, whereas the fuzzy Shapley values determine the rewards of each group based on their contributions and level of cooperation in the search operation.

Practical implications

The proposed model can be applied to model many real-time problems such as patrolling in international borders, urban areas, forests and managing rescue operations after natural calamities, etc. Therefore, defence organizations, police departments and other operation management sectors will be benefitted by applying the proposed approach.

Originality/value

To the best of the authors’ knowledge, determining the optimal locations of base stations in a region is not explored in the existing works on target searching problems with fuel constraints. The proposed approach to cooperatively search the targets in a region is new. Introducing the Shapley function and fuzzy Shapley function is a novel idea to quantify the rewards of each group based on their contributions and level of cooperation in the search operation. This paper addresses these unexplored areas.

Details

Kybernetes, vol. 46 no. 8
Type: Research Article
DOI: https://doi.org/10.1108/K-01-2017-0039
ISSN: 0368-492X

Keywords

  • Target searching
  • Cooperative games
  • Shapley value
  • Fuzzy Shapley function
  • Cartesian product
  • Refuelling

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