Interval-Valued Doubt Fuzzy Ideals in BCK-Algebras-Reference-Cited by-同舟云学术

Interval-Valued Doubt Fuzzy Ideals in BCK-Algebras

Published:2019-10 Issue:4 Volume:8 Page:101-121
ISSN:2156-177X
Container-title:International Journal of Fuzzy System Applications
language:en
Short-container-title:

Author:

Bej Tripti¹^ORCID,Pal Madhumangal²^ORCID

Affiliation:

1. Vidyasagar University, Midnapore, India

2. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India

Abstract

Nearly forty years ago, interval-valued fuzzy sets were propounded by Zadeh as the normal ramification of fuzzy sets. This article focuses on the basics of a theory for such an interval-valued fuzzy set becoming interval-valued doubt fuzzy subalgebra and an interval-valued doubt fuzzy ideal of BCK-algebras. Also, the authors discuss fuzzy translation, fuzzy multiplication of an interval-valued doubt fuzzy subalgebra/ideal of a BCK-algebra. Besides this, the authors have attempted to substantiate a few common features relating them. At the same time, some properties of interval-valued doubt fuzzy ideals under homomorphism are investigated and the product of interval-valued doubt fuzzy ideals in BCK-algebras is also established.

Publisher

IGI Global

Subject

General Computer Science

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