Constructing a Heyting Semilattice that has Wajesberg Property by Using Fuzzy Implicative Deductive Systems of Hoops

Author(s):

M. Aaly Kologani , X. L. Xin , M. Mohseni Takallo , Y. B. Jun , R. A. Borzooei∗

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Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we defined the notions of (∈, ∈)-fuzzy implicative deductive systems and (∈, ∈ ∨ q)-fuzzy implicative deductive systems of hoops and studied some traits and tried to define some definitions that are equivalent to them. Thus by using the notion of (∈, ∈)- fuzzy deductive system of hoop, we defined a new congruence relation on hoop and show that the algebraic structure that is made by it is a Brouwerian semilattice, Heyting algebra and Wajesberg hoop.

Keywords:

Hoop , fuzzy implicative deductive system , Brouwerian semilattice , Heyting algebra , Wajesberg hoop

Language:
English
Published:
Journal of Mathematical Extension, Volume:16 Issue: 9, Jan 2022
Page:
1
https://www.magiran.com/p2385504  
سامانه نویسندگان
  • Rajab Ali Borzooei
    Corresponding Author (1)
    Full Professor Mathematics, Shahid Beheshti University, Tehran, Iran
    Borzooei، Rajab Ali
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