Orlovsky's concept of decision-making with fuzzy preference relation—Further results
Fuzzy Sets and Systems
Preference relations on a set of fuzzy utilities as a basis for decision making
Fuzzy Sets and Systems
Special properties, closures and interiors of crisp and fuzzy relations
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Canonical form of strongly transitive matrices over lattices
Fuzzy Sets and Systems
An investigation into relations between some transitivity-related concepts
Fuzzy Sets and Systems
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Domination of aggregation operators and preservation of transitivity
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Aggregation operators: properties, classes and construction methods
Aggregation operators
Domination of ordered weighted averaging operators over t-norms
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Multiattribute decision making models and methods using intuitionistic fuzzy sets
Journal of Computer and System Sciences
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
Aggregation of fuzzy preference relations to multicriteria decision making
Fuzzy Optimization and Decision Making
Aggregation Functions: A Guide for Practitioners
Aggregation Functions: A Guide for Practitioners
Fuzzy Sets and Systems
Similarity relations and fuzzy orderings
Information Sciences: an International Journal
Aggregation Operators and Commuting
IEEE Transactions on Fuzzy Systems
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We study graded properties (@a-properties) of fuzzy relations, which are parameterized versions of properties of a fuzzy relation defined by L.A. Zadeh. Namely, we take into account fuzzy relations which are: @a-reflexive, @a-irreflexive, @a-symmetric, @a-antisymmetric, @a-asymmetric, @a-connected, @a-transitive, where @a@?[0,1]. We also pay our attention to the composed versions of these basic properties, e.g. an @a-equivalence, @a-orders. We also consider the so-called ''weak'' properties of fuzzy relations which are the weakest versions of the standard properties of fuzzy relations. We take into account the same types of properties as in the case of the graded ones. Using functions of n variables we consider an aggregated fuzzy relation of given fuzzy relations. We give conditions for functions to preserve graded and weak properties of fuzzy relations.