Fuzzy Set Theory - And Its Applications, Third Edition is a textbook for courses in fuzzy set theory. It can also be used as an introduction to the subject. The character of a textbook is balanced with the dynamic nature of the research in the field by including many useful references to develop a deeper understanding among interested readers. The book updates the research agenda (which has witnessed profound and startling advances since its inception some 30 years ago) with chapters on possibility theory, fuzzy logic and approximate reasoning, expert systems, fuzzy control, fuzzy data analysis, decision making and fuzzy set models in operations research. All chapters have been updated. Exercises are included.

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Fuzzy Set Theory - and Its Applications

Fuzzy sets in approximate reasoning, part 2: logical approaches

The intended purpose of this paper is twofold: proposing a common basis for the modeling of uncertainty and imprecision, and discussing various kinds of approximate and plausible reasoning schemes in this framework. Together with probability, different kinds of uncertainty measures (credibility and plausibility functions in the sense of Shafer, possibility measures in the sense of Zadeh and the dual measures of necessity, Sugeno's g?-fuzzy measures) are introduced in a unified way. The modeling of imprecision in terms of possibility distribution is then presented, and related questions such as the measure of the uncertainty of fuzzy events, the probability and possibility qualification of statements, the concept of a degree of truth, and the truth qualification of propositions, are discussed at length. Deductive inference from premises weighted by different kinds of measures by uncertainty, or by truth-values in the framework of various multivalued logics, is fully investigated. Then, deductive inferences from imprecise or fuzzy premises are dealt with; patterns of reasoning where both uncertainty and imprecision are present are also addressed. The last section is devoted to the combination of uncertain or imprecise pieces of information given by different sources. On the whole, this paper is a tentative survey of quantitative approaches in the modeling of uncertainty and imprecision including recent theoretical proposals as well as more empirical techniques such as the ones developed in expert systems such as MYCIN or PROSPECTOR, the management of uncertainty and imprecision in reasoning patterns being a key issue in artificial intelligence.

A Computational Approach to Approximate and Plausible Reasoning with Applications to Expert Systems

Hedge algebras: an algebraic approach to structure of sets of linguistic truth values

Implementing imprecision in information systems

On many-valued logics, fuzzy sets, fuzzy logics and their applications

Introduction to the theory of fuzzy subsets. Volume 1: Fundamental theoretical elements: A. KAUFMAN. Academic Press, New York, 1975, 432 pages, $22.50, £17.40

Heinz J. Skala

Papers

On many-valued logics, fuzzy sets, fuzzy logics and their applications

Introduction to the theory of fuzzy subsets. Volume 1: Fundamental theoretical elements: A. KAUFMAN. Academic Press, New York, 1975, 432 pages, $22.50, £17.40

Systems theory in the Social Sciences(ISR 20): H. Bossel, S. Klaczko and N. Muller, Eds. Birkhäuser Verlag, Stuttgart, 1976, 552 pages