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- Title
EXTENSIONS OF FUZZY CONNECTIVES ON ACDL.
- Authors
HUI LIU; BIN ZHAO
- Abstract
The main goal of this paper is to construct fuzzy connectives on algebraic completely distributive lattice(ACDL) by means of extending fuzzy connectives on the set of completely join-prime elements or on the set of completely meet-prime elements, and discuss some properties of the new fuzzy connectives. Firstly, we present the methods to construct t-norms, t-conorms, fuzzy negations valued on ACDL and discuss whether De Morgan triple will be kept. Then we put forward two ways to extend fuzzy implications and also make a study on the behaviors of R-implication and reciprocal implication. Finally, we construct two classes of infinitely W -distributive uninorms and infinitely V -distributive uninorms.
- Subjects
TRIANGULAR norms; DISTRIBUTIVE lattices; FUZZY sets
- Publication
Kybernetika, 2019, Vol 55, Issue 3, p472
- ISSN
0023-5954
- Publication type
Article
- DOI
10.14736/kyb-2019-3-0472