Combining stochastic uncertainty and linguistic inexactness: theory and experimental evaluation of four fuzzy probability models

doi:10.1016/S0020-7373(89)80021-5

International Journal of Man-Machine Studies

Volume 30, Issue 1, January 1989, Pages 69-111

https://doi.org/10.1016/S0020-7373(89)80021-5 Get rights and content

Two major sources of imprecision in human knowledge, linguistic inexactness and stochastic uncertainty, are identified in this study. It is argued that since in most realistic situations these two types exist simultaneously, it is necessary to combine them in a formal framework to yield realistic solutions. This study presents such a framework by combining concepts from probability and fuzzy set theories. In this framework four models (Kwakernaak, 1978; Yager, 1979, Yager, 1984; Zadeh, 1968, Zadeh, 1975) that attempt to account for the numeric or linguistic responses in various probability elicitation tasks were tested. The linguistic models were relatively effective in predicting subjects' responses compared to a random choice model. The numeric model (Zadeh, 1968) proved to be insufficient. These results and others suggest that subjects are unable to represent the full complexity of a problem. Instead they adopt a simplified view of the problem by representing vague linguistic concepts by multiple-crisp representations (the α-level sets). All of the mental computation is done at these surrogate levels.

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Combining stochastic uncertainty and linguistic inexactness: theory and experimental evaluation of four fuzzy probability models

Fuzzy Sets and Systems

Journal of Mathematical Analysis and Applications

Part 1: Integration of fuzzy mappings. Fuzzy Sets and Systems

Part 3: Differentiation. Fuzzy Sets and Systems

Information Sciences

Information and Control

Cognition

Journal of Mathematical Analysis and Applications

R. YAGER. Information Sciences

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Information Sciences

Information Sciences

Information Sciences

Information Sciences

Fuzzy Sets and Systems

Fuzzy Sets and Systems

American Journal of Medicine

Journal of Mathematical Analysis and Applications

Fuzzy Sets and Systems

Information Science

Mathematical Modelling

Cognitive Science

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Artificial Intelligence

Journal of Memory and Language

Information Sciences

Information Sciences

Information Sciences

Fuzzy Sets and Systems

Information and Control

Journal of Mathematical Analysis and Applications

Information Science

Information Science

Information Science

Information Processing and Management

Fuzzy Sets and Systems

International Journal of Man-Machine Studies

International Journal of Approximate Reasoning

What price ambiguity? Or the role of ambiguity in decision making

Journal of Political Economy