A short note on some of the fuzzy rough hyper-ideals in semihyper-groups

V. S. Subha; N. Thillaigovindan; V. Chinnadurai; S. Sharmila

doi:10.26637/MJM0802/0034

Abstract

In this paper we apply some of the ideals in semihyper-group in terms of fuzzy rough set. Semihyper-group is an algebraic structure which is an extended structure of semigroup. We introduce the concept of fuzzy rough hyper-ideal and fuzzy rough bi hyper-ideal in semihyper-group. We define the $q$-level set in semihyper-group and study the relation of ideals between the fuzzy rough set and the $q$-level set of a fuzzy rough set.

Keywords:

Fuzzy rough set, semihyper-group, Fuzzy rough hyper-ideals, Fuzzy rough subsemihyper-group, Fuzzy rough interior hyper-ideals, q-level set.

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

V. S. Subha Department of Mathematics, Dharmapuram Gnanambigai Government Arts College, Mayiladuthurai-609001, Tamil Nadu, India.
N. Thillaigovindan Department of Mathematics, Arba Minch University, Ethopia.
V. Chinnadurai Department of Mathematics, Annamalai University Annamalainagar-608002, Tamil Nadu, India.
S. Sharmila Department of Mathematics, Annamalai University Annamalainagar-608002, Tamil Nadu, India.

Pages: 522-526
Date Published: 01-04-2020
Vol. 8 No. 02 (2020): Malaya Journal of Matematik (MJM)

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