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Asian Journal of Research in Social Sciences and Humanities
Year : 2017, Volume : 7, Issue : 3
First page : ( 234) Last page : ( 246)
Online ISSN : 2249-7315.
Article DOI : 10.5958/2249-7315.2017.00168.X

Certain Kinds of Intuitionistic Fuzzy Filters of Lattice Implication Algebras

Revathi J.*, Kalamani D.**, Prakash K. Arun***

*Department of Mathematics, Kongu Engineering College, Perundurai, India

**Department of Mathematics, Bharathiyar University Post Graduate Extension Centre, Erode, India

***Department of Mathematics, Kongu Engineering College, Perundurai, India

Online published on 23 March, 2017.

Abstract

In this paper, the concepts of intuitionistic fuzzy fantastic filter and intuitionistic fuzzy positive implicative filter in lattice implication algebra are introduced and its properties were discussed. Relations among intuitionistic fuzzy filter, intuitionistic fuzzy fantastic filter and intuitionistic fuzzy positive implicative filters are stated. The equivalent conditions for both types of intuitionistic fuzzy filters were also obtained.

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Keywords

Lattice implication algebra, intuitionistic fuzzy filter, intuitionistic fuzzy fantastic filter, intuitionistic fuzzy positive implicative filter.

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