L-ORDERED FUZZIFYING CONVERGENCE SPACES

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WU W.; FANG J.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2012 | Volume:9 | Issue:2 Page(s): 147-161

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Information Journal Paper

Title

L-ORDERED FUZZIFYING CONVERGENCE SPACES

Author(s)

WU W. | FANG J. | Issue Writer Certificate

Keywords

L-FUZZIFYING TOPOLOGY

L-ORDERED FUZZIFYING CONVERGENCE STRUCTURE

L-FILTER

CARTESIAN-CLOSED CATEGORY

REFLECTIVE SUBCATEGORY

Abstract

Based on a complete Heyting algebra, we modify the definition of lattice-valued fuzzifying convergence space using fuzzy inclusion order and construct in this way a CARTESIAN-CLOSED CATEGORY, called the category of L-ordered fuzzifying convergence spaces, in which the category of L-fuzzifying topological spaces can be embedded. In addition, two new categories are introduced, which are called the category of principal L-ordered fuzzifying convergence spaces and that of topological L-ordered fuzzifying convergence spaces, and it is shown that they are isomorphic to the category of L-fuzzifying neighborhood spaces and that of L-fuzzifying topological spaces respectively.

Cites

FURTHER STUDY ONL-FUZZY Q-CONVERGENCE STRUCTURES

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APA: Copy

WU, W., & FANG, J.. (2012). L-ORDERED FUZZIFYING CONVERGENCE SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS, 9(2), 147-161. SID. https://sid.ir/paper/581744/en

Vancouver: Copy

WU W., FANG J.. L-ORDERED FUZZIFYING CONVERGENCE SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2012;9(2):147-161. Available from: https://sid.ir/paper/581744/en

IEEE: Copy

W. WU, and J. FANG, “L-ORDERED FUZZIFYING CONVERGENCE SPACES,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 9, no. 2, pp. 147–161, 2012, [Online]. Available: https://sid.ir/paper/581744/en

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