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Reduction of fuzzy strict order relations |
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| Authors: | M.K. Chakraborty Mili Das |
| Affiliation: | Department of Pure Mathematics, University of Calcutta, 35 Ballygunge Circular Road, Calcutta 700 019, India |
| Abstract: | Fuzzy strict order relations and the notion of their reduction are defined. A necessary and sufficient condition is obtained for the transitive closure of the reduction to coincide with the strict order itself. Some possible graph-theoretic significances of these results are discussed in the conclusion. |
| Keywords: | Fuzzy relations Fuzzy strict order Transitive closure Reduction of a strict order Chain Consecutive pair Weakest link of a chain Length of a chain |
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