GRADUAL NORMED LINEAR SPACE

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SADEQI I.; AZARI F.Y.

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Journal Paper

Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2011 | Volume:8 | Issue:5 (SPECIAL ISSUE: FUZZY MATHEMATICS) Page(s): 131-139

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Information Journal Paper

Title

GRADUAL NORMED LINEAR SPACE

Author(s)

SADEQI I. | AZARI F.Y.

Keywords

FUZZY INTERVAL

GRADUAL REAL NUMBER

LOCALLY CONVEX SPACE

Abstract

In this paper, the GRADUAL REAL NUMBERs are considered and the notion of the gradual normed linear space is given. Also some topological properties of such spaces are studied, and it is shown that the gradual normed linear space is a LOCALLY CONVEX SPACE, in classical sense. So the results in LOCALLY CONVEX SPACEs can be translated in gradual normed linear spaces. Finally, we give an example of a gradual normed linear space which is not normable in classical analysis.

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APA: Copy

SADEQI, I., & AZARI, F.Y.. (2011). GRADUAL NORMED LINEAR SPACE. IRANIAN JOURNAL OF FUZZY SYSTEMS, 8(5 (SPECIAL ISSUE: FUZZY MATHEMATICS)), 131-139. SID. https://sid.ir/paper/586227/en

Vancouver: Copy

SADEQI I., AZARI F.Y.. GRADUAL NORMED LINEAR SPACE. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2011;8(5 (SPECIAL ISSUE: FUZZY MATHEMATICS)):131-139. Available from: https://sid.ir/paper/586227/en

IEEE: Copy

I. SADEQI, and F.Y. AZARI, “GRADUAL NORMED LINEAR SPACE,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 8, no. 5 (SPECIAL ISSUE: FUZZY MATHEMATICS), pp. 131–139, 2011, [Online]. Available: https://sid.ir/paper/586227/en

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