An Involutive Picture Fuzzy Negator on Picture Fuzzy Sets and Some De Morgan Triples

An Involutive Picture Fuzzy Negator on Picture Fuzzy Sets and Some De Morgan Triples

A generalization of the Zadeh's fuzzy sets and Atanassov's intuitionistic fuzzy sets is the "Picture fuzzy set". This concept is effective in approaching problems relating to the information aggregation processes in decision making problems, for examples voting, financial forecas...

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Bibliographic Details
Published in:2015 Seventh International Conference on Knowledge and Systems Engineering (KSE) pp. 126 - 131
Main Authors: Cuong, Bui Cong, Ngan, Roan Thi, Hai, Bui Duong
Format: Conference Proceeding
Language:English
Published: IEEE 01-10-2015
Subjects:
Decision making
Economics
Electronic mail
Fuzzy logic
Fuzzy sets
Lattices
Yttrium
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Summary:A generalization of the Zadeh's fuzzy sets and Atanassov's intuitionistic fuzzy sets is the "Picture fuzzy set". This concept is effective in approaching problems relating to the information aggregation processes in decision making problems, for examples voting, financial forecasting, estimating risks in business, etc. This promotes vigorously the construction of the picturefuzzytheory:picturefuzzyoperatorsonpicturefuzzysets, picture fuzzy logic. In this paper, we will give some properties of an involutive picture negator and some corresponding De Morgan fuzzy triples on picture fuzzy sets.
DOI:10.1109/KSE.2015.21