The dual of a fuzzy subspace. (English) Zbl 0884.15003

Abdukhalikov, K. S.

Fuzzy Sets Syst. 82, No. 3, 375-381 (1996).

The paper deals with fuzzy vector space [cf. R. Kumar, Fuzzy Sets Syst. 45, No. 1, 109-116 (1992)] and its dual space. Some analoguous of basis, direct sum and homomorphism properties in dual space are proved.

Reviewer: J.Drewniak (Katowice)

MSC:

15A03	Vector spaces, linear dependence, rank, lineability
15B33	Matrices over special rings (quaternions, finite fields, etc.)
03E72	Theory of fuzzy sets, etc.
20N25	Fuzzy groups

Keywords:

fuzzy basis; fuzzy mapping; fuzzy vector space; dual space; direct sum

References:

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