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The purpose of this paper is to present a measure method of the uncertainty for rough fuzzy set based on general binary relation.

Rough set and fuzzy set are two different but complementary theories for expressing uncertainty information, and based on the combination of these two uncertainty theories of expressing and handling uncertainty information, the rough fuzzy set model and uncertainty measure based on general relation are discussed.

This paper reveals the intrinsic of the uncertainty for rough fuzzy set based on general relation and presents a new measure method by introducing the Shannon entropy to generalized approximation space.

The paper contributes to the discussion on the research of rough set and fuzzy set. The conclusions are useful in information processing with uncertainty.

The purpose of this paper is to give broad‐spectrum analysis of general system theory, including the researching approach – dynamic structure approach, the study on general object system by broad‐spectrum analysis, and the study of general cognitive system by broad‐spectrum analysis, etc.

The theoretical basis of broad‐spectrum analysis is dynamic structuralism, which, therefore, leads to the fact that its methodology is dynamic structural methodology, including that from the perspective of generalized structure, that from the dynamic perspective (the fluxional viewpoint of structure and the transforming viewpoint of structure).

Generalized structural models of general object system (including general thing system and general dynamic system, general cognitive system and general value system) are given in this paper. It shows a unique perspective of broad‐spectrum analysis, its close relationship with general system theory and the viewpoints of many questions in general system.

The details of the structural models in this paper have to be worked out.

The methodological principle for us to analyze, study, optimize, and control the general system is provided.

Generalized structural models of this paper originate from pansystem methodology and discrete mathematics. This paper has the value of methodology for those who are studying general systems.

By use of equivalence operators δ_i and semiequivalence operators ε_i, studies the clustering problems of complex systems. Presents the δ (1,3) disconnection principle, dual‐transformation principle for analysing and operating complex systems and large‐scale systems. Discusses interconnectivity and disconnectivity of complex systems. Presents some related theorems. Discusses hierarchy of systems according to the pansystems clustering approach proposed.

The framework, panorama, related applications and development of pansystems thinking are introduced and some problems concerning generalized systems, derivatives, symmetry and quantification are investigated, a sort of difference‐identity theory within the framework of pansystems thinking is cultivated, and a new type of clustering method with many intertransformations among some important pansystems concepts is presented. Related contents include: pansystems combination of mathematics, systems, dialectics and poetry thinking, methodology to comprehend laws by pansymmetries or by moving networks, the pansystems views of generalized order, quotientization and series‐parallel relations, control‐reachability, duality transformation, discoupling principle, communication theorems, general parental relations, etc.

In this presentation I shall be concerned with only one aspect of information science and its relation with linguistics: namely document analysis (for a broader survey of ‘Linguistics and information science’, see the recent article published under that title by C. Montgomery (1972); also M. Kay and K. Sparck Jones (1971), and the report prepared for F.I.D. by the same authors, forthcoming; M. Coyaud (1972), in French, deals with many separate facets of the same subject).

The purpose of this paper is to provide an introduction to alysidal algebra. Deontical impure systems are systems whose object set is formed by an s‐impure set, whose elements are perceptuales significances (relative beings) of material and/or energetic objects (absolute beings) and whose relational set is freeways of relations, formed by sheaves of relations going in two‐way directions. Objects and freeways form chains.

The paper looks at the mathematical and logical development of human society structure.

Existence of relations with positive imperative modality (obligation) would constitute the skeleton of the system. Negative imperative modality (prohibition) would be the immunological system of protection of the system. Modality permission the muscular system, that gives the necessary flexibility to the system, in as much to the modality faculty its neurocerebral system, because it allows him to make decisions. Transactions of energy, money, merchandise, population, etc. would be the equivalent one to the sanguineous system. These economic transactions and inferential relations, depend, as well, on the existence of a legislative body with their obligations, prohibitions and permissions that regulate them.

The concepts of alysidal set are introduced, whose elements are chains and coupling function between alysidal sets. Environment is formed as well by different DIS. That is to say, by an alysidal set whose elements are simultaneously systems. Specific interchanges (stimulus‐response) leave certain nodes and act on certain nodes of the alysidal sets (stimulus environment‐DIS‐response environment). The paper defines a special coupling function, denominated gnorpsic function, that can be used for algebraic operations between alysidal sets.

The purpose of this paper is to present an academic programme of pansystems research with a lot of new concepts, principles, methods. Universal consideration of philosophy‐mathematics‐technology is set forth with mega‐combination. The emphasis on the transfield internet‐like investigations is developed. Many theory‐methods of pansystems get further concise optimization.

The concrete contents of the paper include: historical megawave, philosophical stratagems, meta‐mathematics, meta‐methodology, technological realistic principles, unification and differentiation of encyclopedic branches, systems science, information theory, cybernetics, biosystems, generalized vitality, computer and IT, thinking science, logic, OR, AI, PR, DM, modernization of yinyang analysis combining dialectics, sociology, economics, meta‐relativity, generalized quantification and scale theory, general process of birth‐growth‐ageing‐disease‐death, the inheritance and development of 300 scholars' researches, etc.

All of the topics concerned with are reduced to the actualizations of PVOR – pansystems variational OR: V−d(xy)=^*0^*/PRR′P′/0^**, which is an integrated synthesis of 20‐PanStemCells of PanConcepts and PanMethod, and embodies a specific pansystems summarization for the core of the true and the good. Furthermore, the formula “Pansystems Researches=^*(PVOR/0^**/Pan54787721/Everything)+^*0^*=^*Pan–netlike connections of thoughts and methods” is expanded with concrete applications.

Provides information on pansystems research.

In this study negotiated exchange under the 1-exchange rule is considered in the whole population of 142,660 exchange networks up to size 9. A review shows that 51 of these networks have been studied in the literature. Predictions for the whole population of networks are derived by parsimonious versions of power-dependence and exchange-resistance theory. All but 301 networks are classified similarly as equal, weak, or strong power networks by the power-dependence and exchange-resistance theory. Only 4% of the networks is classified as a strong power network, as opposed to the 43% of the networks studied in the literature.