SOME RESULTS ON INTUITIONISTIC FUZZY SPACES

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HOSSEINI S.B.; OREGAN D.; SADATI R.

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Journal: Iranian Journal of Fuzzy Systems Year:2007 | Volume:4 | Issue:1 Page(s): 53-64

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Title

SOME RESULTS ON INTUITIONISTIC FUZZY SPACES

Author(s)

HOSSEINI S.B. | OREGAN D. | SADATI R. | Issue Writer Certificate

Keywords

INTUITIONISTIC FUZZY METRIC (NORMED) SPACESQ2

COMPLETENESSQ2

COMPACTNESSQ2

FINITE DIMENSIONALQ2

WEAK CONVERGENCEQ2

QUOTIENT SPACESQ2

APPROXIMATION THEORYQ2

Abstract

In this paper we define intuitionistic fuzzy metric and normed spaces. We first consider FINITE DIMENSIONAL intuitionistic fuzzy normed spaces and prove several theorems about COMPLETENESS, COMPACTNESS and WEAK CONVERGENCE in these spaces. In section 3 we define the intuitionistic fuzzy quotient norm and study COMPLETENESS and review some fundamental theorems. Finally, we consider some properties of APPROXIMATION THEORY in intuitionistic fuzzy metric spaces.

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APA: Copy

HOSSEINI, S.B., OREGAN, D., & SADATI, R.. (2007). SOME RESULTS ON INTUITIONISTIC FUZZY SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS, 4(1), 53-64. SID. https://sid.ir/paper/113300/en

Vancouver: Copy

HOSSEINI S.B., OREGAN D., SADATI R.. SOME RESULTS ON INTUITIONISTIC FUZZY SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2007;4(1):53-64. Available from: https://sid.ir/paper/113300/en

IEEE: Copy

S.B. HOSSEINI, D. OREGAN, and R. SADATI, “SOME RESULTS ON INTUITIONISTIC FUZZY SPACES,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 4, no. 1, pp. 53–64, 2007, [Online]. Available: https://sid.ir/paper/113300/en

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