2007
DOI: 10.1007/s10700-007-9018-6
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Aggregation of fuzzy preference relations to multicriteria decision making

Abstract: Weighted aggregation of fuzzy preference relations on the set of alternatives by several criteria in decision-making problems is considered. Pairwise comparisons with respect to importance of the criteria are given in fuzzy preference relation as well. The aggregation procedure uses the composition between each two relations of the alternatives. The membership function of the newly constructed fuzzy preference relation includes t-norms and t-conorms to take into account the relation between the criteria import… Show more

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Cited by 25 publications
(9 citation statements)
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“…Index j represents the players in C, including the player i when i ∈ C. If i / ∈ C, then X (i, C) = 0. The fuzzy logic system used in this model is the Probabilistic Fuzzy Logic (Peneva and Popchev 2006). The operators of this system are:…”
Section: Definitionmentioning
confidence: 99%
See 1 more Smart Citation
“…Index j represents the players in C, including the player i when i ∈ C. If i / ∈ C, then X (i, C) = 0. The fuzzy logic system used in this model is the Probabilistic Fuzzy Logic (Peneva and Popchev 2006). The operators of this system are:…”
Section: Definitionmentioning
confidence: 99%
“…Equation (3) is used as a strict fuzzy order: This fuzzy order satisfies the property of fuzzy max-max transitivity (Peneva and Popchev 2006) and the property of fuzzy reciprocity (Chiclana et al 2004), see (Espín et al 2007).…”
Section: Definitionmentioning
confidence: 99%
“…Our map matching algorithm is based on reference [14], but in order to obtain more abundant amount of information and more effective map matching to improve accuracy, we add the following two factors, the direction angle and the running distance, the similarity degree is measured in terms of fuzzy theory, then a fuzzy preference relations is used to the multicriteria decision system [15,16] . We regard the road with the shape of the highest similarity is the road on which the vehicle phone is moving (For details, see reference [17]).…”
Section: B Map Matching Levelmentioning
confidence: 99%
“…Vania [21] [22] uses composition of fuzzy relations to aggregate preference relations into a collective one. Concept of fuzzy majority using a linguistic quantifier to aggregate fuzzy preference relation is used by Tanino, Karcprzyk and Chiclana in [8] [10] [16].…”
Section: Introductionmentioning
confidence: 99%