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Interval-valued fuzzy logical connectives with respect to admissible orders.
- Source :
-
Iranian Journal of Fuzzy Systems . 2023, Vol. 20 Issue 4, p1-19. 19p. - Publication Year :
- 2023
-
Abstract
- Interval-valued fuzzy logical connectives are extensions of fuzzy logical connectives to the interval-valued framework. The extensions require linear orders to define the monotonicity between intervals. As a significant linear order, the admissible order is introduced to compare any interval in interval-valued fuzzy logic. In this work, we examine several widely-used interval-valued fuzzy logical connectives with respect to admissible orders. We are concerned with interval- valued fuzzy negations, automorphisms, fuzzy implications and aggregation functions with respect to Kα,β orders and arbitrary intervals on L([0, 1]). We also make a discussion of width-preserving interval-valued fuzzy equivalence functions and dissimilarity functions with respect to arbitrary admissible orders and the intervals with the same width on L([0, 1]). Then we bring some approaches to constructing the proposed interval-valued fuzzy logical connectives with respect to admissible orders. The introduced interval-valued fuzzy logical connectives with respect to admissible orders may have a deep impact on some fields exploiting fuzzy methods dealing with intervals. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FUZZY sets
*LINEAR orderings
*FUZZY logic
*AUTOMORPHISMS
Subjects
Details
- Language :
- English
- ISSN :
- 17350654
- Volume :
- 20
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Iranian Journal of Fuzzy Systems
- Publication Type :
- Academic Journal
- Accession number :
- 166174626