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Reduction of fuzzy strict order relations

✍ Scribed by M.K. Chakraborty; Mili Das

Book ID
104168878
Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
437 KB
Volume
15
Category
Article
ISSN
0165-0114

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πŸ“œ SIMILAR VOLUMES

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Strict lower sections, strict upper sections and open order intervals (strict order intervals) are classical notions associated to crisp orderings (crisp total preorders). In this paper, we extend these notions to fuzzy orderings. We determine all the fuzzy orderings (they contain all the crisp orde

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We show that for a fuzzy partial order R on a ΓΏnite universe , there is a ΓΏnite family of fuzzy linear orders {Li: 16i6k} such that R(x; y) = min{ L i (x; y): 16i6k} for all x and y. This generalizes a well-known result on crisp partial orders, which states that each partial order on a ΓΏnite set is