Estimating Unknown Values in Reciprocal Intuitionistic Preference Relations via Asymmetric Fuzzy Preference Relations
Intuitionistic preference relations are becoming increasingly important in the field of group decision making since they present a flexible and simple way to the experts to provide their preference relations, while at the same time allowing them to accommodate a certain degree of hesitation inherent to all decision making processes. In this contribution, we prove the mathematical equivalence between the set of asymmetric fuzzy preference relations and the set of reciprocal intuitionistic fuzzy preference relations. This result is exploited to tackle the presence of incomplete reciprocal intuitionistic fuzzy preference relation in decision making by developing a consistency driven estimation procedure via the corresponding equivalent incomplete asymmetric fuzzy preference relation.
KeywordsIntuitionistic preference relation Asymmetric fuzzy preference relation Consistency Uninorm Incomplete information
This work has been developed with the financing of the Andalusian Excellence research project TIC-5991 and FEDER funds in the Spanish National research project TIN2013-40658-P. Raquel Ureña would like to acknowledge the support received by the mobility grant program awarded by the University of Granada’s International Office. Prof. Francisco Chiclana and Prof. Hamido Fujita would like to acknowledge the support provided by the University of Granada ‘Strengthening through Short-Visits’ (Ref. GENIL-SSV 2015) programme.
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