Rough approximation operators based on quantale-valued fuzzy generalized neighborhood systems

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Zhao F. F.; LI L.Q.; Sun S. B.; JIN Q.

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Journal: Iranian Journal of Fuzzy Systems Year:2019 | Volume:16 | Issue:6 Page(s): 53-63

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Title

Rough approximation operators based on quantale-valued fuzzy generalized neighborhood systems

Author(s)

Zhao F. F. | LI L.Q. | Sun S. B. | JIN Q. | Issue Writer Certificate

Keywords

Fuzzy rough setQ2

fuzzy topologyQ2

L-fuzzy generalized neighborhood systemQ2

quantaleQ2

Abstract

Let L be an integral and commutative quantale. In this paper, by fuzzifying the notion of generalized neighborhood systems, the notion of L-fuzzy generalized neighborhood system is introduced and then a pair of lower and upper approximation operators based on it are defined and discussed. It is proved that these approximation operators include generalized neighborhood system-based approximation operators, L-fuzzy relation-based approximation operators and L-fuzzy covering-based approximation operators as their special circumstances. Therefore, the research on L-fuzzy generalized neighborhood system-based approximation operators has more general significance. In addition, when the L-fuzzy generalized neighborhood system is serial, re exive, unary and transitive, then the corresponding approximation operators are discussed and characterized, respectively.

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APA: Copy

Zhao, F. F., LI, L.Q., Sun, S. B., & JIN, Q.. (2019). Rough approximation operators based on quantale-valued fuzzy generalized neighborhood systems. IRANIAN JOURNAL OF FUZZY SYSTEMS, 16(6 ), 53-63. SID. https://sid.ir/paper/408184/en

Vancouver: Copy

Zhao F. F., LI L.Q., Sun S. B., JIN Q.. Rough approximation operators based on quantale-valued fuzzy generalized neighborhood systems. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2019;16(6 ):53-63. Available from: https://sid.ir/paper/408184/en

IEEE: Copy

F. F. Zhao, L.Q. LI, S. B. Sun, and Q. JIN, “Rough approximation operators based on quantale-valued fuzzy generalized neighborhood systems,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 16, no. 6 , pp. 53–63, 2019, [Online]. Available: https://sid.ir/paper/408184/en

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