BOUNDEDNESS AND CONTINUITY OF FUZZY LINEAR ORDER-HOMOMORPHISMS ON Ι  -TOPOLOGICAL VECTOR SPACES

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FANG J.X.; ZHANG H.

مرکز اطلاعات علمی Scientific Information Database (SID) - Trusted Source for Research and Academic Resources

Journal Paper

Paper Information

Journal: IRANIAN JOURNAL OF FUZZY SYSTEMS Year:2014 | Volume:11 | Issue:1 Page(s): 147-157

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Title

BOUNDEDNESS AND CONTINUITY OF FUZZY LINEAR ORDER-HOMOMORPHISMS ON Ι -TOPOLOGICAL VECTOR SPACES

Author(s)

FANG J.X. | ZHANG H.

Keywords

Ι - TOPOLOGICAL VECTOR SPACES

BOUNDED FUZZY SET

BOUNDED FUZZY LINEAR ORDER-HOMOMORPHISM

Abstract

In this paper, a new definition of bounded fuzzy linear order homomorphism on $I$-topological vector spaces is introduced. This definition differs from the definition of Fang [The continuity of fuzzy linear order-homomorphism. J. Fuzzy Math. {bf 5}textbf{(4)}(1997), 829--838]. We show that the “boundedness" and “boundedness on each layer" of fuzzy linear order homomorphisms do not imply each other. On the basis, characterizations of continuity of fuzzy linear order-homomorphisms, and the relation between continuity and boundedness are studied.

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APA: Copy

FANG, J.X., & ZHANG, H.. (2014). BOUNDEDNESS AND CONTINUITY OF FUZZY LINEAR ORDER-HOMOMORPHISMS ON Ι -TOPOLOGICAL VECTOR SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS, 11(1), 147-157. SID. https://sid.ir/paper/618557/en

Vancouver: Copy

FANG J.X., ZHANG H.. BOUNDEDNESS AND CONTINUITY OF FUZZY LINEAR ORDER-HOMOMORPHISMS ON Ι -TOPOLOGICAL VECTOR SPACES. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2014;11(1):147-157. Available from: https://sid.ir/paper/618557/en

IEEE: Copy

J.X. FANG, and H. ZHANG, “BOUNDEDNESS AND CONTINUITY OF FUZZY LINEAR ORDER-HOMOMORPHISMS ON Ι -TOPOLOGICAL VECTOR SPACES,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 11, no. 1, pp. 147–157, 2014, [Online]. Available: https://sid.ir/paper/618557/en

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