Ebook: Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory

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.

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Content:
Front Matter....Pages i-ix
Front Matter....Pages 1-1
Multiperson Decision Making: A Selective Review....Pages 3-27
Fuzzy Set Theory as a Theory of Vagueness....Pages 28-42
Vague Notions in the Theory of Voting....Pages 43-52
Front Matter....Pages 53-53
Aggregation of Possibility Measures....Pages 55-63
Modelling Valued Preference Relations....Pages 64-70
Revealed Fuzzy Preferences....Pages 71-79
Categories of Fuzzy Relations in Decision Making....Pages 80-89
Determination and Interpretation of the Fuzzy Utility of an Act in an Uncertain Environment....Pages 90-97
Extending Aggregation Operators for Multicriteria Decision Making....Pages 98-104
Ranking Alternatives by Weak Transitivity Relations....Pages 105-112
Calculating the Mean Knowledge Representation from Multiple Experts....Pages 113-127
An approach to customized end-user views in multi-user information retrieval systems....Pages 128-139
Front Matter....Pages 141-141
Means and Social Welfare Function in Fuzzy Binary Relation Spaces....Pages 143-154
Aggregation of Fuzzy Preferences....Pages 155-162
Single-Peakedness in Weighted Aggregation of Fuzzy Opinions in a Fuzzy Group....Pages 163-171
On Group Decision Making under Fuzzy Preferences....Pages 172-185
Group Decision Making with Fuzzy and Non-Fuzzy Evaluations....Pages 186-197
On Construction of the Fuzzy Multiattribute Risk Function for Group Decision Making....Pages 198-218
Consensus Measures for Qualitative Order Relations....Pages 219-230
On a Consensus Measure in a Group MCDM Problem....Pages 231-241
Front Matter....Pages 141-141
Voting Procedures with a Priori Incomplete Individual Profiles....Pages 242-251
Front Matter....Pages 253-253
A Team Decision-Making Model for Distributed Problem Solving....Pages 254-266
Evidential Teams....Pages 267-285
Front Matter....Pages 287-287
Fuzzy Goals and Sets of Choices in Two-Person Games....Pages 288-297
Playing Matrix Games Defined by Linguistic Labels....Pages 298-310
Fuzzy Convexity and Peripherial Core of an Exchange Economy Represented as a Fuzzy Game....Pages 311-335
Fuzzy Sequencing Games....Pages 336-341
Back Matter....Pages 343-346

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Content:
Front Matter....Pages i-ix
Front Matter....Pages 1-1
Multiperson Decision Making: A Selective Review....Pages 3-27
Fuzzy Set Theory as a Theory of Vagueness....Pages 28-42
Vague Notions in the Theory of Voting....Pages 43-52
Front Matter....Pages 53-53
Aggregation of Possibility Measures....Pages 55-63
Modelling Valued Preference Relations....Pages 64-70
Revealed Fuzzy Preferences....Pages 71-79
Categories of Fuzzy Relations in Decision Making....Pages 80-89
Determination and Interpretation of the Fuzzy Utility of an Act in an Uncertain Environment....Pages 90-97
Extending Aggregation Operators for Multicriteria Decision Making....Pages 98-104
Ranking Alternatives by Weak Transitivity Relations....Pages 105-112
Calculating the Mean Knowledge Representation from Multiple Experts....Pages 113-127
An approach to customized end-user views in multi-user information retrieval systems....Pages 128-139
Front Matter....Pages 141-141
Means and Social Welfare Function in Fuzzy Binary Relation Spaces....Pages 143-154
Aggregation of Fuzzy Preferences....Pages 155-162
Single-Peakedness in Weighted Aggregation of Fuzzy Opinions in a Fuzzy Group....Pages 163-171
On Group Decision Making under Fuzzy Preferences....Pages 172-185
Group Decision Making with Fuzzy and Non-Fuzzy Evaluations....Pages 186-197
On Construction of the Fuzzy Multiattribute Risk Function for Group Decision Making....Pages 198-218
Consensus Measures for Qualitative Order Relations....Pages 219-230
On a Consensus Measure in a Group MCDM Problem....Pages 231-241
Front Matter....Pages 141-141
Voting Procedures with a Priori Incomplete Individual Profiles....Pages 242-251
Front Matter....Pages 253-253
A Team Decision-Making Model for Distributed Problem Solving....Pages 254-266
Evidential Teams....Pages 267-285
Front Matter....Pages 287-287
Fuzzy Goals and Sets of Choices in Two-Person Games....Pages 288-297
Playing Matrix Games Defined by Linguistic Labels....Pages 298-310
Fuzzy Convexity and Peripherial Core of an Exchange Economy Represented as a Fuzzy Game....Pages 311-335
Fuzzy Sequencing Games....Pages 336-341
Back Matter....Pages 343-346
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