Korean Journal of Mathematics

  • 제32권2호
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  • Pages.195-211
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  • 2024
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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FUZZY LATTICE ORDERED GROUP BASED ON FUZZY PARTIAL ORDERING RELATION

  • 투고 : 2023.09.24
  • 심사 : 2024.04.26
  • 발행 : 2024.06.30
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초록

In this paper, we introduce the concept of a fuzzy lattice ordered group, which is based on a fuzzy lattice that Chon developed in his paper "Fuzzy Partial Order Relations and Fuzzy Lattice". We will also discuss fuzzy lattice-ordered groups in detail, provide several results that are analogous to the classical theory of lattice-ordered groups, and characterize the relationship between a fuzzy lattice-ordered group using its level set and support. Moreover, we define the concepts of fl-subgroups, quotients, and cosets of fl-groups and obtain some fundamental results for these fuzzy algebraic structures.

키워드

과제정보

This work was supported by a research grant from Arba Minch University.

참고문헌

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