A study of generalized roughness in -fuzzy filters of ordered semigroups. Issue 2 (4th March 2018)

• Record Type: Journal Article
• Authors: Ali, Muhammad Irfan; Mahmood, Tahir; Hussain, Azmat
• Is Part Of: Journal of Taibah University for science. Volume 12:Issue 2(2018)
• Page Start: 163
• Page End: 172
• Publication Date: 2018-03-04
• Subjects: Fuzzy sets -- Rough sets -- Approximation of fuzzy filters and their generalization -- Approximation of (∈, ∈ ∨q) and (∈, ∈ ∨qk)-fuzzy filters and their generalization; Science -- Periodicals; Science; Periodicals; 505
• DOI: 10.1080/16583655.2018.1451067
• Languages: English
• ISSNs: 1658-3655

Abstract

ABSTRACT: Concept of generalized rough approximations for fuzzy filters in ordered semigroups is introduced. Then this idea is extended to rough approximations of fuzzy bi-filters and fuzzy quasi-filters in ordered semigroups. -fuzzy filters are a generalization of fuzzy filters and these can be further generalized by -fuzzy filters. Generalized roughness has been studied for both and -fuzzy filters of ordered semigroups.