INTRODUCTION TO TEMPORAL INTUITIONISTIC FUZZY APPROXIMATE REASONING

Kutlu F., Tugrul F., ÇİTİL M.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.69, sa.1, ss.232-251, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 69 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.31801/cfsuasmas.540529
  • Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.232-251
  • Anahtar Kelimeler: De Morgan triplet, t-norm, t-conorm, negation, implication, coimplication, temporal intuitionistic fuzzy sets, IMPLICATION OPERATORS, SIMILARITY MEASURE, DISTANCE MEASURE
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this study; temporal intuitionistic fuzzy negation, temporal intuitionistic fuzzy triangular norm and temporal intuitionistic fuzzy triangular conorm have been researched. The aim of this study is to define negator, t-norm and t-conorms, which is the generalization of negation, conjunctions and disconjunctions in the temporal intuitionistic fuzzy sets and to examine the De Morgan relations between these concepts. The thing to note here is that conjunctions generalized with t-norm and t-conorm is changed depending on time. We will carry concept of implication and coimplication to temporal intuitionistic fuzzy sets. With the new implication definitions, a causal structure will be established which will match the variable structure of the systems depending on the position and time variables. It is evident that successful results will be achieved in this type of system, which is being dealt with by this new structure.