Degrees of M-fuzzy families of independent L-fuzzy sets

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ZHANG S.Y.; Li S. G.

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Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2020 | Volume:17 | Issue:1 Page(s): 53-64

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Information Journal Paper

Title

Degrees of M-fuzzy families of independent L-fuzzy sets

Author(s)

ZHANG S.Y. | Li S. G. | Issue Writer Certificate

Keywords

Degree of MQ2

fuzzy family of independent LQ2

fuzzy setsQ2

MQ2

fuzzy family of independent LQ2

fuzzy setsQ2

((L;M))Q2

fuzzy matroidQ2

Abstract

The present paper studies fuzzy matroids in view of degree. First we generalize the notion of (L; M)-fuzzy independent structure by introducing the Degree of M-fuzzy family of independent L-fuzzy sets with respect to a mapping from LX to M. Such kind of degrees is proved to satisfy some axioms similar to those satisfied by (L; M)-fuzzy independent structure. Then we define and study some special degrees (e. g. quotient degrees and isomorphism degrees) with respect to mappings between two (L; M)-fuzzy matroid-like spaces in details. Finally we give characterizations of these degrees and investigate relationships between them.

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APA: Copy

ZHANG, S.Y., & Li, S. G.. (2020). Degrees of M-fuzzy families of independent L-fuzzy sets. IRANIAN JOURNAL OF FUZZY SYSTEMS, 17(1 ), 53-64. SID. https://sid.ir/paper/374734/en

Vancouver: Copy

ZHANG S.Y., Li S. G.. Degrees of M-fuzzy families of independent L-fuzzy sets. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2020;17(1 ):53-64. Available from: https://sid.ir/paper/374734/en

IEEE: Copy

S.Y. ZHANG, and S. G. Li, “Degrees of M-fuzzy families of independent L-fuzzy sets,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 17, no. 1 , pp. 53–64, 2020, [Online]. Available: https://sid.ir/paper/374734/en

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