A subjective approach for ranking fuzzy numbers
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TLDR
Some properties of the index are studied, as well as its behaviour on several particular cases, which are related to the relative importance of the different level sets.About:
This article is published in Fuzzy Sets and Systems.The article was published on 1989-01-03 and is currently open access. It has received 335 citations till now. The article focuses on the topics: Fuzzy number & Fuzzy set operations.read more
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Theory and practice of uncertain programming
TL;DR: This book provides a self-contained, comprehensive and up-to-date presentation of uncertain programming theory, including numerous modeling ideas, hybrid intelligent algorithms, and applications in system reliability design, project scheduling problem, vehicle routing problem, facility location problem, and machine scheduling problem.
Journal ArticleDOI
Reasonable properties for the ordering of fuzzy quantities (II)
Xuzhu Wang,Etienne Kerre +1 more
TL;DR: It is proved that many fuzzy relations used for the comparison of fuzzy quantities satisfy some conditions stronger than acyclicity, so a widely applicable formulation to derive a total ranking order from a fuzzy relation is given.
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A survey of credibility theory
TL;DR: This paper provides a survey of credibility theory that is a new branch of mathematics for studying the behavior of fuzzy phenomena and some basic concepts and fundamental theorems are introduced, including credibility measure, fuzzy variable, membership function, credibility distribution, expected value, variance, critical value, entropy, distance, and credibility subadditivity theorem are introduced.
Journal ArticleDOI
Reasonable properties for the ordering of fuzzy quantities (II)
WangXuzhu,E KerreEtienne +1 more
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Fuzzy Interval Analysis
TL;DR: This chapter is an overview of past and present works dealing with fuzzy intervals and their operations, and contains a reasoned survey of methods for comparing and ranking fuzzy intervals.
References
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Fuzzy Sets and Systems: Theory and Applications
Didier Dubois,Henri Prade +1 more
TL;DR: This book effectively constitutes a detailed annotated bibliography in quasitextbook style of the some thousand contributions deemed by Messrs. Dubois and Prade to belong to the area of fuzzy set theory and its applications or interactions in a wide spectrum of scientific disciplines.
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A procedure for ordering fuzzy subsets of the unit interval
TL;DR: A function to help in the ordering of fuzzy subsets of the unit interval is introduced, which is the integral of the mean of the level sets associated with the fuzzy subset.
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A review of some methods for ranking fuzzy subsets
Giovanni Bortolan,R. Degani +1 more
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Ranking fuzzy numbers in the setting of possibility theory
Didier Dubois,Henri Prade +1 more
TL;DR: A complete set of comparison indices is proposed in the framework of Zadeh's possibility theory and it is shown that generally four indices enable one to completely describe the respective locations of two fuzzy numbers.