Direct Product of General Doubt Intuitionistic Fuzzy Ideals of $BCK/BCI$-algebras with Respect to Triangular Binorm


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Authors

  • A. K. Dutta Department of Mathematics, D.H.S.K. College, Dibrugarh, Assam, India
  • D. K. Basnet Department of Mathematical Sciences, Tezpur University, Tezpur, Assam, India
  • K. D. Choudhury Department of Mathematics, Assam University, Silchar, Assam, India
  • S. R. Barbhuiya Department of Mathematics, Srikishan Sarda College, Hailakandi, Assam, India

Keywords:

$BCK$-algebra, Doubt fuzzy ideal, $(\in,\in\vee q_k)$-doubt fuzzy subalgebra, $(\in,\in\vee q_k)$-doubt fuzzy ideal, $(\in,\in\vee q_k)$- doubt intuitionistic fuzzy subalgebra, $(\in,\in\vee q_k)$- doubt intuitionistic fuzzy ideal, Direct product

Abstract

In this paper, we introduced the concept of $(\in,\in\vee q_k)$- doubt intuitionistic fuzzy subalgebra and $(\in,\in\vee q_k)$-doubt intuitionistic fuzzy ideals in BCK-algebra with respect to triangular binorm by using the combined notion of not quasi coincidence $(\overline q) $ of a fuzzy point to a fuzzy set and the notion of triangular binorm. We define direct product of $(\in,\in\vee q_k)$-doubt intuitionistic fuzzy sets and direct product of $(\in,\in\vee q_k)$-doubt intuitionistic fuzzy subalgebras/ideals of $BCK/BCI$-algebras and investigate some related properties.

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Published

01-11-2017

How to Cite

A. K. Dutta, D. K. Basnet, K. D. Choudhury, & S. R. Barbhuiya. (2017). Direct Product of General Doubt Intuitionistic Fuzzy Ideals of $BCK/BCI$-algebras with Respect to Triangular Binorm. International Journal of Mathematics And Its Applications, 5(4 - B), 247–257. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/1263

Issue

Vol. 5 No. 4 - B (2017)

Section

Research Article

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