Interval-Valued Doubt Fuzzy Ideals in BCK-Algebras

Tripti Bej and Madhumangal Pal
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Tripti Bej: Vidyasagar University, Midnapore, India
Madhumangal Pal: Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, India

International Journal of Fuzzy System Applications (IJFSA), 2019, vol. 8, issue 4, 101-121

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.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:igg:jfsa00:v:8:y:2019:i:4:p:101-121

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