ON LOCAL BOUNDEDNESS OF I-TOPOLOGICAL VECTOR SPACES

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FANG J.X.; ZHANG H.

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Journal: Iranian Journal of Fuzzy Systems Year:2012 | Volume:9 | Issue:5 Page(s): 93-104

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Title

ON LOCAL BOUNDEDNESS OF I-TOPOLOGICAL VECTOR SPACES

Author(s)

FANG J.X. | ZHANG H. | Issue Writer Certificate

Keywords

I-TOPOLOGICAL VECTOR SPACES

GENERALIZED LOCALLY BOUNDED I-TOPOLOGICAL VECTOR SPACES

FAMILY OF GENERALIZED FUZZY QUASI-NORMS

Abstract

The notion of generalized locally bounded I-TOPOLOGICAL VECTOR SPACES is introduced. Some of their important properties are studied. The relationship between this kind of spaces and the locally bounded I-TOPOLOGICAL VECTOR SPACES introduced by Wu and Fang [Boundedness and locally bounded fuzzy topological vector spaces, Fuzzy Math. 5 (4) (1985) 87-94] is discussed. Moreover, we also use the FAMILY OF GENERALIZED FUZZY QUASI-NORMS to characterize the generalized locally bounded I-TOPOLOGICAL VECTOR SPACES, and give some applications of this characterization.

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APA: Copy

FANG, J.X., & ZHANG, H.. (2012). ON LOCAL BOUNDEDNESS OF I-TOPOLOGICAL VECTOR SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS, 9(5), 93-104. SID. https://sid.ir/paper/586810/en

Vancouver: Copy

FANG J.X., ZHANG H.. ON LOCAL BOUNDEDNESS OF I-TOPOLOGICAL VECTOR SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2012;9(5):93-104. Available from: https://sid.ir/paper/586810/en

IEEE: Copy

J.X. FANG, and H. ZHANG, “ON LOCAL BOUNDEDNESS OF I-TOPOLOGICAL VECTOR SPACES,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 9, no. 5, pp. 93–104, 2012, [Online]. Available: https://sid.ir/paper/586810/en

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