A procedure for ranking fuzzy numbers using fuzzy relations
Fuzzy Sets and SystemsPublished 1 April 1988
Miguel Delgado, José Luís Verdegay, M.A. Vila
Citations153
SJR quartileQ1
SJR score0.75
SNIP1.25
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
A method to give fuzzy order relations between fuzzy numbers is presented, founded on the concept of ‘comparison function’, and the use of fuzzy measures related with the same numbers.
Abstract
This paper presents a method to give fuzzy order relations between fuzzy numbers. These are founded on the concept of 'comparison function' (defined in the paper), and the use of fuzzy measures related with the same numbers. The link of such relations with fuzzy operations is investigated too.
Keywords
Computer ScienceDecision SciencesMathematics
Mathematics in Science and Engineering/Mathematics in science and engineeringFuzzy Sets and Systems - Theory and Applications
6,430 Citations1980Didier Dubois, Henri Prade
Probabilistic Metric Spaces
2,659 Citations1983B. Schweizer, A. Sklar
Information SciencesSimilarity relations and fuzzy orderings
2,621 Citations1971Lotfi A. Zadeh
An extended version of Szpilrajn's theorem is proved and various properties of similarity relations and fuzzy orderings are investigated and, as an illustration, a fuzzy preordering is investigated which is reflexive and antisymmetric.
Fuzzy Sets and SystemsA review of some methods for ranking fuzzy subsets
940 Citations1985G. Bortolan, R. Degani
Information SciencesRanking fuzzy numbers in the setting of possibility theory
936 Citations1983Didier Dubois, Henri Prade
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.
Fuzzy Sets and SystemsFuzzy real algebra: Some results
408 Citations1979Didier Dubois, Henri Prade
A three parameters representation for fuzzy numbers is shown to be very convenient to perform usual operations for normalized convex fuzzy subsets of the real line, i.e. fuzzy numbers.
International Journal of General SystemsA CLASS OF FUZZY MEASURES BASED ON TRIANGULAR NORMS A general framework for the combination of uncertain information
330 Citations1982Didier Dubois, Henri Prade
An axiomatic approach to a broad class of fuzzy measures in the sense of Sugeno is presented via the concept of triangular norm (t-norm for short), which encompasses probability measures, Zadeh's possibility measures and the dual notion of necessity measures.
Fuzzy Sets and SystemsThe use of fuzzy variables in pert
239 Citations1981Stefan Chanas, Jerzy Kamburowski
A method for estimating a project completion time in the situation when activity duration times in the project network model are given in the form of fuzzy variables—fuzzy sets on time space is presented.
KybernetesON CHOOSING BETWEEN FUZZY SUBSETS
200 Citations1980Ronald R. Yager
The problem of selecting the highest grade of membership of fuzzy subsets of type 2 and of choosing the most truthful of a group of fuzzy propositions involve making a choice among fuzzy subset on the unit interval is proposed.
Fuzzy Sets and SystemsDistinction between several subsets of fuzzy measures
92 Citations1981Gerald Jean Francis Banon
The intersection of several fuzzy measure subsets is studied and the particular role of Dirac's measures is shown in this comparison.
RAIRO - Operations ResearchAlgorithmes de plus courts chemins pour traiter des données floues
38 Citations1978Didier Dubois, Henri Prade