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Information Journal Paper

Title

ON FUZZY CONVEX LATTICE-ORDERED SUBGROUPS

Pages

  159-172

Abstract

 In this paper, the concept of fuzzy CONVEX SUBGROUP (resp. fuzzy convex lattice-ordered subgroup) of an ordered group (resp. LATTICE-ORDERED GROUP) is introduced and some properties, characterizations and related results are given. Also, the fuzzy CONVEX SUBGROUP (resp. fuzzy convex lattice-ordered subgroup) generated by a fuzzy subgroup (resp. fuzzy subsemigroup) is characterized. Furthermore, the Fundamental Homomorphism Theorem is established. Finally, it is proved that the class of all fuzzy convex lattice-ordered subgroups of a LATTICE-ORDERED GROUP G forms a complete Heyting sublattice of the lattice of fuzzy subgroups of G.

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    APA: Copy

    BAKHSHI, MAHMOUD. (2013). ON FUZZY CONVEX LATTICE-ORDERED SUBGROUPS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 10(3), 159-172. SID. https://sid.ir/paper/607008/en

    Vancouver: Copy

    BAKHSHI MAHMOUD. ON FUZZY CONVEX LATTICE-ORDERED SUBGROUPS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2013;10(3):159-172. Available from: https://sid.ir/paper/607008/en

    IEEE: Copy

    MAHMOUD BAKHSHI, “ON FUZZY CONVEX LATTICE-ORDERED SUBGROUPS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 10, no. 3, pp. 159–172, 2013, [Online]. Available: https://sid.ir/paper/607008/en

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