FUZZY SUBGROUPS AND CERTMN EQUIVALENCE RELATIONS

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JAIN A.

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Journal: Iranian Journal of Fuzzy Systems Year:2006 | Volume:3 | Issue:2 Page(s): 75-91

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Information Journal Paper

Title

FUZZY SUBGROUPS AND CERTMN EQUIVALENCE RELATIONS

Author(s)

JAIN A. | Issue Writer Certificate

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Abstract

In this paper, we study an equivalence relation on the set of fuzzy subgroups of an arbitrary group G and give four equivalent conditions each of which characterizes this relation. We demonstrate that with this equivalence relation each equivalence class constitutes a lattice under the ordering of fuzzy set inclusion. Moreover, we study the behavior of these equivalence classes under the action of a group homomorphism.

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APA: Copy

JAIN, A.. (2006). FUZZY SUBGROUPS AND CERTMN EQUIVALENCE RELATIONS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 3(2), 75-91. SID. https://sid.ir/paper/113410/en

Vancouver: Copy

JAIN A.. FUZZY SUBGROUPS AND CERTMN EQUIVALENCE RELATIONS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2006;3(2):75-91. Available from: https://sid.ir/paper/113410/en

IEEE: Copy

A. JAIN, “FUZZY SUBGROUPS AND CERTMN EQUIVALENCE RELATIONS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 3, no. 2, pp. 75–91, 2006, [Online]. Available: https://sid.ir/paper/113410/en

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