Affine and Convex Fuzzy Subsets of Hypervector Spaces
کد مقاله : 1035-CFIS (R1)
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چکیده مقاله:
In this paper, the notion of a convex subset of a hypervector space over the field of real numbers is generalized to a hypervector space over an arbitrary valued field. Moreover, affine subsets of hypervector spaces are introduced. Next, the concept of convex fuzzy subsets of hypervector spaces over valued fields is redefined. Also, in order to study them in greater details, the notion of affine fuzzy subsets of hypervector spaces is introduced and some related results are obtained. Specially, the relation between affine fuzzy subsets of hypervector spaces and fuzzy subhyperspaces is investigated.
کلیدواژه ها:
Hypervector Space, Affine Fuzzy Subset, Convex Fuzzy Subset, Linear Transformation, Fuzzy Subhyperspace
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