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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/5009

Title: A probability-based approach to comparison of fuzzy numbers and applications to target oriented decision making
Authors: Huynh, Van-Nam
Nakamori, Yoshiteru
Lawry, Jonathan
Keywords: Decision-making
fuzzy number
fuzzy target
ranking
uncertainty
Issue Date: 2008-04
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Magazine name: IEEE Transactions on Fuzzy Systems
Volume: 16
Number: 2
Start page: 371
End page: 387
DOI: 10.1109/TFUZZ.2007.896315
Abstract: In this paper, we introduce a new comparison relation on fuzzy numbers based on their alpha-cut representation and comparison probabilities of interval values. Basically, this comparison process combines a widely accepted interpretation of fuzzy sets together with the uncertain characteristics inherent in the representation of fuzzy numbers. The proposed comparison relation is then applied to the issue of ranking fuzzy numbers using fuzzy targets in terms of target-based evaluations. Some numerical examples are used to illuminate the proposed ranking technique as well as to compare with previous methods. More interestingly, according to the interpretation of the new comparison relation on fuzzy numbers, we provide a fuzzy target-based decision model as a solution to the problem of decision making under uncertainty, with which an interesting link between the decision maker's different attitudes about target and different risk attitudes in terms of utility functions can be established. Moreover, an application of the proposed comparison relation to the fuzzy target-based decision model for the problem of fuzzy decision making with uncertainty is provided. Numerical examples are also given for illustration.
Rights: Copyright (C)2008 IEEE. Reprinted from IEEE Transactions on Fuzzy Systems, 16(2), 2008, 371-387. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of JAIST's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.
URI: http://hdl.handle.net/10119/5009
Material Type: publisher
Appears in Collections:a10-1. 雑誌掲載論文 (Journal Articles)

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