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Issue:Intuitionistic fuzzy filters of ordered semigroups

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Title of paper: Intuitionistic fuzzy filters of ordered semigroups
Author(s):
Muhammad Shabir
Department of mathematics Quaid-i-Azam University Islamabad, Pakistan
Asghar Khan
Department of mathematics Quaid-i-Azam University Islamabad, Pakistan
azhar4set@yahoo.com
M. S. Anitha
Department of Mathematics, St. Michael College of Engineering & Technology, Kalayarkoil – 630551, Tamilnadu, India
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 15 (2009) Number 3, pages 1—13
Download:  PDF (523  Kb, File info)
Abstract: The notion of intuitionistic fuzzy filters in ordered semigroups is introduced and relation between intuitionistic fuzzy filters and intuitionistic fuzzy prime ideals is investсgated. The notion of intuitionistic fuzzy bi-ideal subsets and intuitionistic fuzzy bi-filters are provided and relation between intuitionistic fuzzy bi-filters and intuitionistic fuzzy prime bi-ideal subsets is

established. The concept of intuitionistic fuzzy right filters (left filters) is given and their relation with intuitionistic fuzzy prime left ideals is discussed.

Keywords: Anti-homomorphism, Homomorphism, Intuitionistic antifuzzy subgroup, Intuitionistic fuzzy lower level subset, Intuitionistic fuzzy lower level subgroup, Intuitionistic fuzzy subsets
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