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Management decision support systems using fuzzy sets and possibility theory. (English) Zbl 0561.94020

Interdisciplinary Systems Research, 83. Köln: Verlag TÜV Rheinland. XI, 350 p. DM 48.00 (1985).
In the field of Artificial Intelligence the Expert Systems are a tool for complex information processing which is of growing importance in a variety of different fields of research. And one of the methodologies which is attractive in these topics is the application of fuzzy sets and other tools from fuzziness. The authors in this book concentrate on fuzzy methods mainly in the field of management decision support. In many cases they survey some real or intended applications or explain some aspects of such applications. Hence, almost all of the papers are not mathematical ones. An exception is the paper ”On implication and indistinguishability in the setting of fuzzy logic” (pp. 198–212) by E. Trillas and L. Valverde which aims to survey the essential constructions and properties of fuzzy, i.e. many valued, analogues of the implication and equivalence connectives of classical logic.
For the reader interested in aspects of such applications we list the contents: B. R. Gaines and M. L. G. Shaw ”Foundations of expert systems” (pp. 3–24), C. Ponsard ”Fuzzy sets in economics: foundations of soft decision theory” (25–37), S. D. Bedrosian ”A role for fuzzy concepts in interactive decision-making” (38–47), C. Carlsson ”Fuzzy multiple criteria for decision support systems” (48–61), C. V. Negoita ”Fuzzy sets in knowledge engineering” (62–69), T. Radecki ”Foundations of fuzzy information retrieval” (70–82), A. Borisov and V. Glushkov ”The choice of alternatives described by fuzzy evidences” (85–100), E. J. Lusk and J. Neves ”The analysis of the consistence measure of the eigenvalue priority model: a possibilistic perspective” (101–109), A. Bookstein ”Fuzzy-set decision models” (110–117), M. Nowakowska ”Dynamic theory of expertise” (118–124), J. Kacprzyk ”Some common-sense solution concepts in group decision making via fuzzy linguistic quantifiers” (125–135), S. A. Orlovski ”Mathematical programming problems with fuzzy parameters” (136–145), H. Tanaka, H. Ichihashi and K. Asai ”Fuzzy decision in linear programming problems with trapezoid fuzzy parameters (146–154), A. O. Esogbue ”A fuzzy dynamic programming model of intra-operative anesthesia administration” (155–161), A. Kandel ”Information, inexactness, and multiple-valued structures” (165–175), D. Dubois and H. Prade ”A survey of set-functions for the assessment of evidence” (176-188), B. Bouchon ”Questionnaires in a fuzzy setting” (189–197), I. B. Turksen ”Fuzzy representation and inference with normal forms” (213–228), M. Mizumoto ”Fuzzy inference with ’IF..THEN..ELSE’ under new compositional rules of inference” (229–238), B. P. Buckles and F. E. Petry ”Query languages for fuzzy databases” (241–252), J. F. Baldwin ”A knowledge engineering fuzzy inference language - FRIL” (253–269), J. F. Baldwin, P. Baldwin and S. Brown ”A natural language interface for FRIL” (270–279), C. J. Ernst ”A logic programming meta-language for expert system control” (280–288), A. V. Alexeyev ”Fuzzy algorithms execution software: the FAGOL system” (289–300), M. Umano ”Fuzzy-set-theoretic data structure system and its applications” (301–313), D. C. Rine ”Some models for security and protection analysis based on possibility theory and fuzzy sets” (317–323), H. Ogawa, K. S. Fu and J. T. P. Yao ”Expert system using fuzzy sets in structural engineering” (324–333), J. W. Cooley and J. D. Hicks jun. ”The use of fuzzy sets in the accounting spectrum: the evaluation of the internal control system” (334–342), E. Czogała and W. Pedrycz ”Technical diagnosis in terms of possibility theory” (343–350).
Surely, the book will be of considerable value for everyone interested in those fields of applications.

MSC:

94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory)
68T99 Artificial intelligence
90B99 Operations research and management science
94-06 Proceedings, conferences, collections, etc. pertaining to information and communication theory
68-06 Proceedings, conferences, collections, etc. pertaining to computer science
90-06 Proceedings, conferences, collections, etc. pertaining to operations research and mathematical programming
68U20 Simulation (MSC2010)
03B52 Fuzzy logic; logic of vagueness