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Interval-Valued Doubt Fuzzy Ideals in BCK-Algebras

Interval-Valued Doubt Fuzzy Ideals in BCK-Algebras

Tripti Bej, Madhumangal Pal
Copyright: © 2019 |Volume: 8 |Issue: 4 |Pages: 21
ISSN: 2156-177X|EISSN: 2156-1761|EISBN13: 9781522567714|DOI: 10.4018/IJFSA.2019100106
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MLA

Bej, Tripti, and Madhumangal Pal. "Interval-Valued Doubt Fuzzy Ideals in BCK-Algebras." IJFSA vol.8, no.4 2019: pp.101-121. http://doi.org/10.4018/IJFSA.2019100106

APA

Bej, T. & Pal, M. (2019). Interval-Valued Doubt Fuzzy Ideals in BCK-Algebras. International Journal of Fuzzy System Applications (IJFSA), 8(4), 101-121. http://doi.org/10.4018/IJFSA.2019100106

Chicago

Bej, Tripti, and Madhumangal Pal. "Interval-Valued Doubt Fuzzy Ideals in BCK-Algebras," International Journal of Fuzzy System Applications (IJFSA) 8, no.4: 101-121. http://doi.org/10.4018/IJFSA.2019100106

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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.

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