Fuzzy Sets and Systems
Transitivity of fuzzy relations and rational choice
Annals of Operations Research
A sequential selection process in group decision making with a linguistic assessment approach
Information Sciences—Intelligent Systems: An International Journal
Direct approach processes in group decision making using linguistic OWA operators
Fuzzy Sets and Systems
Transitivity of fuzzy preference relations—an empirical study
Fuzzy Sets and Systems
The New Science of Management Decision
The New Science of Management Decision
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
General transitivity conditions for fuzzy reciprocal preference matrices
Fuzzy Sets and Systems - Special issue: Preference modelling and applications
Toward a generalized theory of uncertainty (GTU): an outline
Information Sciences—Informatics and Computer Science: An International Journal
Computing with words and its relationships with fuzzistics
Information Sciences: an International Journal
Additive decomposition of fuzzy pre-orders
Fuzzy Sets and Systems
Group decision making based on multiple types of linguistic preference relations
Information Sciences: an International Journal
A general class of simple majority decision rules based on linguistic opinions
Information Sciences: an International Journal
Computing with words for text processing: An approach to the text categorization
Information Sciences: an International Journal
Modeling the concept of majority opinion in group decision making
Information Sciences: an International Journal
Transitivity Bounds in Additive Fuzzy Preference Structures
IEEE Transactions on Fuzzy Systems
A measure of variance for hierarchical nominal attributes
Information Sciences: an International Journal
Defining the Borda count in a linguistic decision making context
Information Sciences: an International Journal
Modeling rationality in a linguistic framework
Fuzzy Sets and Systems
A transitivity analysis of bipartite rankings in pairwise multi-class classification
Information Sciences: an International Journal
Information Sciences: an International Journal
Aggregation of monotone reciprocal relations with application to group decision making
Fuzzy Sets and Systems
The ordinal consistency of a fuzzy preference relation
Information Sciences: an International Journal
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In this paper we consider a decision maker who shows his/her preferences for different alternatives through a finite set of ordinal values. We analyze the problem of consistency taking into account some transitivity properties within this framework. These properties are based on the very general class of conjunctors on the set of ordinal values. Each reciprocal preference relation on a finite ordinal scale has both a crisp preference and a crisp indifference relation associated to it in a natural way. Taking this into account, we have started by analyzing the problem of propagating transitivity from the preference relation on a finite ordinal scale to the crisp preference and indifference relations. After that, we carried out the analysis in the opposite direction. We provide some necessary and sufficient conditions for that propagation, and therefore, we characterize the consistent class of conjunctors in each direction.