Semi-properties of Atanassov Intuitionistic Fuzzy Relations
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In this paper properties of Atanassov intuitionistic fuzzy relations are examined, i.e.: semi-reflexivity, semi-irreflexivity, semi-symmetry, semi-connectedness, semi-asymmetry, semi-transitivity. The special attention is paid to the semi-transitivity property. Its characterization is given and connections with other transitivity properties are presented, i.e. transitivity itself and weak transitivity. Moreover, transformations of Atanassov intuitionistic fuzzy relations in the context of preservation of the given semi-properties of these relations are presented. The transformations that are considered: lattice operations, the converse, the complement, the composition of relations are the basic ones.
KeywordsAtanassov intuitionistic fuzzy relations Properties of interval-valued fuzzy relations Weak transitivity Semi-transitivity
This work was partially supported by the Centre for Innovation and Transfer of Natural Sciences and Engineering Knowledge in Rzeszów, through Project Number RPPK.01.03.00-18-001/10 and research project TIN2013-40765-P from the Spanish Government.
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