Rough approximation of a preference relation by a multi-attribute stochastic dominance for determinist and stochastic evaluation problems

Comparison of two multicriteria decision aid methods: Net Flow and Rough Set Methods in a high yield pulping process

“…To avoid this problem of imprecision, the rules of inconsistency, as proposed by Zaras [51], was used.…”

Attribute Reduction in Stochastic Information Systems Based on α-Dominance

“…Nowadays, researchers are proposed approaches using stochastic dominance (SD) rules [19][20][21][22][23][24][25][26][27][28]. Some of these methods are to rank alternatives by using the determined SD relations based on rough set theory [26][27].…”

A method based on stochastic dominance degrees for stochastic multiple criteria decision making

“…Therefore MCDM with stochastic variables (thereafter stochastic MCDM) is a valuable research topic. Some research work on stochastic MCDM problems has been conducted, and one of the hot research topics is the use of stochastic dominance (SD) rules in stochastic MCDM analysis (Martel & Zaras, 1995;Nowak, 2004aNowak, , 2004bNowak, , 2006Nowak, , 2007Nowak et al, 2002;Zaras, 1999Zaras, , 2001Zaras, , 2004Zaras & Martel, 1994;Zawisza & Trzpiot, 2002).…”

“…For example, Martel and Zaras (1995) use SD rules to make it possible to combine expected utility models with outranking relation models to obtain a solution to the stochastic MCDM problem. Also, Zaras (1999Zaras ( , 2001Zaras ( , 2004 proposes several approaches based on SD rules and Rough Set theory (Pawlak, 1991) to solve stochastic MCDM problems. Nowak (2004a) employs the concept of thresholds based on SD and distillation procedures in ELECTRE-III method (Roy, 1996) to obtain the ranking of alternatives.…”

“…The former is to identify stochastic dominance relations for pairwise comparisons of alternatives with respect to all criteria using SD rules (Martel et al, 1992;Zaras & Martel, 1994). The latter is to rank alternatives based on the determined SD relations using Rough Set approach (Zaras, 1999(Zaras, , 2001(Zaras, , 2004, outranking method (Martel & Zaras, 1995;Nowak, 2004a) or interactive procedures (Nowak, 2006(Nowak, , 2007.…”