Multipliers in semihoops

  • Ting Qian School of science, Xi’an Shiyou University, Xi’an, 710065, China
  • Wei Wang Department of Basic Courses, Shaanxi Railway institute, WeiNan, 714000, P.R. China
  • Mei Wang School of Mathematics and Statistics, Weinan Normal University, Weinan 714099, P.R. China
DOI: https://doi.org/10.53555/m.v5i11.3346
Keywords: Semihoop, multipliers, closure operator

Abstract

Semihoops play an important role in the study of fuzzy logic based on left continuous t-norms. In this paper, we introduce the notion of multipliers in semihoops and investigate some related properties of them. Also, we discuss the relations between multipliers and closure operators in semihoops. Moreover, we focus on algebraic structures of the set IM(L) of all implicative multipliers in semihoops and obtain that IM(L) forms a Heyting algebra, when L is an MT L-algebra.

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Published
2019-11-29
How to Cite
Ting Qian, Wei Wang, & Mei Wang. (2019). Multipliers in semihoops. IJRDO -JOURNAL OF MATHEMATICS, 5(11), 01-06. https://doi.org/10.53555/m.v5i11.3346
Issue
Vol. 5 No. 11 (2019): IJRDO - Journal of Mathematics | ISSN: 2455-9210
Section
Articles

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