Opening Reciprocal Relations w.r.t. Stochastic Transitivity
For crisp as well as fuzzy relations, the results concerning transitive closures and openings are well known. For reciprocal relations transitivity is often defined in terms of stochastic transitivity. This paper focuses on stochastic transitive openings of reciprocal relations, presenting theoretical results as well as a practical method to construct such transitive openings.
KeywordsPreference relation reciprocal relation stochastic transitivity transitive opening
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