# Fuzzy antisymmetry and order

##### Citations

95 citations

### Cites background from "Fuzzy antisymmetry and order"

...Besides B-fpos, fuzzy partial orders are also defined and studied in [8,9,15,32, 41] by using different notions of antisymmetry....

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27 citations

17 citations

### Cites background from "Fuzzy antisymmetry and order"

...Some of the results from Chakraborty and Das (1983a,b); Chakraborty and Sarkar (1987); Chakraborty et al. (1985) are presented below....

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...Theorem 5 (Chakraborty and Sarkar 1987) Let R̃ be an antisymmetric and transitive relation on Ã and R̃1, R̃2 be the components of R̃ obtained by max–min resolution....

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...Proposition 2 (Chakraborty and Sarkar 1987) Let R̃1, R̃2 be two perfect antisymmetric relations....

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...A few constants, viz., order of antisymmetry, measure of antisymmetry are introduced in Chakraborty and Sarkar (1987)....

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...Definition 8 (Chakraborty and Sarkar 1987) (i) For a set {a, b, c} of three elements each of the following sets of ordered pairs is called an almost cyclic arrangement....

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17 citations

7 citations

### Cites background from "Fuzzy antisymmetry and order"

...Chakraborty and Sarkar (1987) considered various types of ordering such as fuzzy quasi-order, fuzzy partial order, fuzzy weak ordering, and fuzzy linear ordering. They proved several theorems regarding these orderings and detailed several properties. Ovchinnikov (1989) generalized the Baas-Kwakernaak index which induces a...

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...Chakraborty and Sarkar (1987) considered various types of ordering such as fuzzy quasi-order, fuzzy partial order, fuzzy weak ordering, and fuzzy linear ordering....

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##### References

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