Paper Info
Title
Strict Fuzzy Orderings With A Given Context Of Similarity
Abstract
This paper introduces strict fuzzy orderings in the framework of similarity-based fuzzy orderings, i.e. where a context of similarity/indistinguishability is given by means of a fuzzy equivalence relation. We consider how to construct strict fuzzy orderings from partial fuzzy orderings and vice versa. The appropriateness of the concepts introduced in this paper is underlined by theoretical results and examples. We observe that the strongest results are achieved if the underlying triangular norm induces an involutive residual negation.
Year
DOI
Venue
2008
10.1142/S021848850800511X
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
Keywords
Field
DocType
fuzzy equivalence relations, fuzzy orderings, fuzzy relations, partial fuzzy orderings, strict fuzzy orderings
Discrete mathematics,Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy logic,Fuzzy subalgebra,Fuzzy associative matrix,Type-2 fuzzy sets and systems,Fuzzy number,Mathematics
Journal
Volume
Issue
ISSN
16
2
0218-4885
Citations 
PageRank 
References 
7
0.64
12
Authors
2
Name
Order
Citations
PageRank
Ulrich Bodenhofer170568.02
Mustafa Demirci233741.11