Fuzzy Stabilizer in IMTL-Algebras

Authors

Maosen Xie, Institute of Mathematics and Finance, Sichuan University of Arts and Science, Dazhou, Sichuan, 635000, ChinaFollow

Author Country (or Countries)

China

Abstract

In this paper, we introduced two types of fuzzy stabilizers St⊗ R (F) and St⊕ R (F) of a fuzzy set F and the stabilizer St∨(F, G) of F with respect to G in IMTL-algebras. We proved that St⊗ R (F), St⊕ R (F) and St∨(F, G) are fuzzy filters of M. We investigated some properties of the stabilizers. By introducing the e⊗ operation of two fuzzy filters, we prove that e⊗ and St∨(·, ·) form an adjoint pair and the set of all fuzzy filters F(M) is a residuated lattice.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080544

Recommended Citation

Xie, Maosen (2014) "Fuzzy Stabilizer in IMTL-Algebras," Applied Mathematics & Information Sciences: Vol. 08: Iss. 5, Article 44.
DOI: http://dx.doi.org/10.12785/amis/080544
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss5/44