Generalized Doubt Fuzzy Structure of $BG$-algebra


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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:

$BG$-algebra, Fuzzy ideal, Doubt fuzzy ideal, $(\in,\in\vee q_k)$-doubt fuzzy subalgebra, $(\in,\in\vee q_k)$-doubt fuzzy ideal

Abstract

In this paper, we introduced the concept of generalized $(\in,\in\vee q_k)$-doubt fuzzy subalgebra and generalized $(\in,\in\vee q_k)$-doubt fuzzy ideal in BG-algebra by using the combined notion of not quasi coincidence $(\overline q) $ of a fuzzy point to a fuzzy set and the notion doubt fuzzy ideals in $BCK/BCI$-algebras. Some characterizations of these generalized doubt fuzzy subalgebra and generalized doubt fuzzy ideal in BG-algebra are derived. We investigated characterizations of $(\in,\in\vee q_k)$-doubt fuzzy subalgebra and $(\in,\in\vee q_k)$-doubt fuzzy ideals by using level sets and $(\in\vee q_k)$-level sets.

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Published

15-07-2017

How to Cite

A. K. Dutta, D. K. Basnet, K. D. Choudhury, & S. R. Barbhuiya. (2017). Generalized Doubt Fuzzy Structure of $BG$-algebra. International Journal of Mathematics And Its Applications, 5(3 - A), 91–104. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/852

Issue

Vol. 5 No. 3 - A (2017)

Section

Research Article

License

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