Generalized interval valued fuzzy ideals of $KU$-algebra

S. R. Barbhuiya; A. K. Dutta

doi:10.26637/MJM0704/0018

Abstract

In this paper, we introduced the concept of "belongs to" relation $\left(\epsilon_{\hat{a}}\right)$ between interval valued fuzzy point to an interval valued fuzzy set with respect to an interval $\hat{a}$ and "quasi-coincident with " relation $\left(q_{(\hat{a}, \hat{b})}\right)$ between interval valued fuzzy point to an interval valued fuzzy set with respect to intervals $\hat{a}, \hat{b}$ and combining both the concepts we define $\left(\hat{a}, \hat{b} ; \in_{\hat{a}}, \in_{\hat{a}} \vee q_{(\hat{a}, \hat{b})}\right)$-interval valued fuzzy KU-ideals in KU-algebras and investigated some of their related properties. Some characterizations of these generalized interval valued fuzzy KU-ideal are derived.

Keywords:

KU-algebra, Fuzzy ideal, fuzzy ideal, Homomorphism

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

S. R. Barbhuiya Department of Mathematics, Srikishan Sarda College, Hailakandi-788151, Assam, India.
A. K. Dutta Department of Mathematics, D.H.S.K. College, Dibrugarh, Assam- 786001, India.

Pages: 735-745
Date Published: 01-10-2019
Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)

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