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- Title
Lattices of (Generalized) Fuzzy Ideals in Residuated Lattices.
- Authors
Kuanyun Zhu; Jingru Wang; Yongwei Yang
- Abstract
In this paper, we discuss the relationships between fuzzy sets and residuated lattices. In fact, we consider a residuated lattice as a universal set and apply the concept of tipextended pair of fuzzy sets for definition the (generalized) fuzzy ideals. And we explore some new operations of fuzzy sets in a residuated lattice. In particular, associated with the concept of tip-extended pair of fuzzy sets, it is proved, respectively, that the sets of all (generalized) fuzzy ideals form bounded distributive lattices.
- Subjects
DISTRIBUTIVE lattices; FUZZY sets; RESIDUATED lattices; IDEALS (Algebra); DEFINITIONS
- Publication
IAENG International Journal of Applied Mathematics, 2020, Vol 50, Issue 3, p196
- ISSN
1992-9978
- Publication type
Article