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COALITION ANALYSIS WITH FUZZY SETS

B. SPILLMAN (Utah State University, Logan, Utah 84322 (USA) Department of Communication)
J. BEZDEK (Utah State University, Logan, Utah 84322 (USA) Department of Mathematics)
R. SPILLMAN (Utah State University, Logan, Utah 84322 (USA) Department of Electrical Engineering)

Kybernetes

ISSN: 0368-492X

Article publication date: 1 March 1979

67

Abstract

After noting several limiting features and procedural disadvantages of typical game theoretic studies of coalition formation, a new measurement procedure based on fuzzy set theory is described. A generalized Tanimoto coefficient measuring attitudinal similarity provides the fundamental basis for location and analysis of potential coalitions in a group decision‐making task. The results of a pilot study using fuzzy preference matrices and α‐level sets to determine the existence and structural evolution of coalitions over time are presented. Finally, some conjectures concerning the definition and future study of coalitions are advanced.

Citation

SPILLMAN, B., BEZDEK, J. and SPILLMAN, R. (1979), "COALITION ANALYSIS WITH FUZZY SETS", Kybernetes, Vol. 8 No. 3, pp. 203-211. https://doi.org/10.1108/eb005522

Publisher

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MCB UP Ltd

Copyright © 1979, MCB UP Limited

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