Some new results on intuitionistic fuzzy H-ideal in BCI-algebra

C. Ragavan; A. Solairaj

doi:10.26637/mjm304/014

Abstract

Intuitionistic fuzzy set, involving membership, non-membership and hesitancy consideration present mathematically a very general structure. Because of these considerations it is possible to define several operations / compositions of these sets. In the existing literature ten different operations on such sets are defined. These ten operations on intuitionistic fuzzy sets bear interesting properties. In this paper we have identified and proved several of these properties, particularly those involving the operation \(A \rightarrow B\) defined as standard intuitionistic fuzzy implicational with other operations.

Keywords:

Intuitionistic fuzzy sets, equality, intuitionistic fuzzy implication, operation intuitionistic fuzzy H-ideal

Mathematics Subject Classification:

03E72

Authors Imprint References Funding Related Articles Downloads

C. Ragavan Department of Mathematics, SVM Arts and Science College, Uthangarai, Tamil Nadu, India.
A. Solairaj Department of Mathematics, Jamal Mohammed College (Autonomous) Trichy, Tamil Nadu, India.

Pages: 563-579
Date Published: 01-10-2015
Vol. 3 No. 04 (2015): Malaya Journal of Matematik (MJM)

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