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Interval-Valued Doubt Fuzzy Ideals in BCK-Algebras

Author

Listed:
  • Tripti Bej

    (Vidyasagar University, Midnapore, India)

  • Madhumangal Pal

    (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.

Suggested Citation

  • Tripti Bej & Madhumangal Pal, 2019. "Interval-Valued Doubt Fuzzy Ideals in BCK-Algebras," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 8(4), pages 101-121, October.
    • Handle: RePEc:igg:jfsa00:v:8:y:2019:i:4:p:101-121
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