Non Conventional Preference Relations In Decision Making

The important issue of how to overcome rigidness, inadequacy and human inconsistency regarding conventional assumptions on preferences in decision making (for example, regarding yes/no crispness or transitivity) is discussed by well-known experts in this volume. In the introductory articles, analyses of those conventional assumptions are given and the need for reconsiderations and changes as to preference-related aspects is advocated. The following contributions are mainly concerned with issues related to valued (including fuzzy) preference relations, such as analysis of their properties and their use in various decision making and choice problems and in group decision making.

Bernard ROY Professor, University of Paris-Dauphine Director of LAMSADE 11 is not unusual for a dozen or so loosely related working papers to be published in book form as the natural outgrowth of a scientific gathering. Although many a volu me of collected papers has come into point in this way, the homogeneity of the arti cles included will often be more apparent than real. As the reader will quickly ob serve, such is not the case with the present volume. As one can judge from its ti tle, 1t is in fact an outcome of an ed~torial project by J. Kacprzyk and M. Roubens. T~ey asked contributing authors to submit recent works which would examine. within a non-traditional theoretical framework, preference analysis and preference modeliing 1n a fuzzy context oriented towards decision aid. The articles by J.P. Ooignon, B. Monjardet, T. Tanino and Ph. Vincke empnasize the analysis of oreference structures, mainly in the presence of incomparability. In transitivlty, thresholds and, more generally, inaccurate determination. Considera ble attention is devoted to the analysis of efficient and non-dominated (in Pareto's sense of the term) decisions in the four papers presented by S. Ovchinnikov and M.

Medical tourism has developed rapidly worldwide, especially in Asia, and one of the most important problems facing the patient-tourists is the selection of the optimum destination. In this paper, we present a novel multiple criteria group decision making (MCGDM) methodology to evaluate and rank the medical tourism destinations vague based on vague information.

This book proposes a novel CWW model to personalize individual semantics in linguistic decision making, based on two new concepts: numerical scale and consistency-driven methodology. The numerical scale model provides a unified framework to connect different linguistic symbolic computational models for CWW, and the consistency-driven methodology customizes individuals’ semantics to support linguistic group decision making by setting personalized numerical scales. The book is a valuable resource for researchers and postgraduates who are interested in CWW in linguistic decision making.

Decision making is certainly a very crucial component of many human activities. It is, therefore, not surprising that models of decisions play a very important role not only in decision theory but also in areas such as operations Research, Management science, social Psychology etc . . The basic model of a decision in classical normative decision theory has very little in common with real decision making: It portrays a decision as a clear-cut act of choice, performed by one individual decision maker and in which states of nature, possible actions, results and preferences are well and crisply defined. The only compo nent in which uncertainty is permitted is the occurence of the different states of nature, for which probabilistic descriptions are allowed. These probabilities are generally assumed to be known numerically, i. e. as single probabili ties or as probability distribution functions. Extensions of this basic model can primarily be conceived in three directions: 1. Rather than a single decision maker there are several decision makers involved. This has lead to the areas of game theory, team theory and group decision theory. 2. The preference or utility function is not single valued but rather vector valued. This extension is considered in multiattribute utility theory and in multicritieria analysis. 3.

This book presents the concept of the double hierarchy linguistic term set and its extensions, which can deal with dynamic and complex decision-making problems. With the rapid development of science and technology and the acceleration of information updating, the complexity of decision-making problems has become increasingly obvious. This book provides a comprehensive and systematic introduction to the latest research in the field, including measurement methods, consistency methods, group consensus and large-scale group consensus decision-making methods, as well as their practical applications. Intended for engineers, technicians, and researchers in the fields of computer linguistics, operations research, information science, management science and engineering, it also serves as a textbook for postgraduate and senior undergraduate university students.

The book is a benefit for graduate and postgraduate students in the areas of operations research, decision theory, optimization theory, linear algebra, interval analysis and fuzzy sets. The book will also be useful for the researchers in the respective areas. The first part of the book deals with decision making problems and procedures that have been established to combine opinions about alternatives related to different points of view. Procedures based on pairwise comparisons are thoroughly investigated. In the second part we investigate optimization problems where objective functions and constraints are characterized by extremal operators such as maximum, minimum or various triangular norms (t-norms). Matrices in max-min algebra are useful in applications such as automata theory, design of switching circuits, logic of binary relations, medical diagnosis, Markov chains, social choice, models of organizations, information systems, political systems and clustering. The input data in real problems are usually not exact and can be characterized by interval values.