Research Article

Introduction to temporal intuitionistic fuzzy approximate reasoning

Volume: 69 Number: 1 June 30, 2020
EN

Introduction to temporal intuitionistic fuzzy approximate reasoning

Abstract

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 dene negator, tnorm
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 denitions, 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.

Keywords

References

  1. Zadeh, L.A., Outline of a new approach to the analysis of complex systems and decision processes, IEEE Trans. Systems Man and Cybernetics, 3(1) (1973), 28-44.
  2. Zadeh, L.A., Theory of approximate reasoning. in I.E. Hayes, D. Michie and L.I. Mikulich, Eds. Machine intelligence (Ellis Horwood Ltd. Chichester, U.K.) (1970), 149-194.
  3. Kutlu, F., Atan, Ö. and Bilgin, T., Distance Measure, Similarity Measure, Entropy and Inclusion Measure on Temporal Intuitionistic Fuzzy Sets, Proceedings of IFSCOM 2016, (2016) 130-148.
  4. Atanassov, K.T., On Intuitionistic Fuzzy Sets Theory. Springer, Berlin, 2012.
  5. Atanassov, K. and Gargov, G., Elements of intuitionistic fuzzy logic, Part I, Fuzzy sets and systems,95(1) (1998), 39-52.
  6. Atanassov, K.T., On intuitionistic fuzzy negations, In Computational Intelligence, Theory and Applications, Springer, Berlin, Heidelberg, (2006), 159-167.
  7. Atanassov, K.T., On the intuitionistic fuzzy implications and negations, In Intelligent Techniques and Tools for Novel System Architectures, Springer, Berlin, Heidelberg, (2008), 381-394.
  8. Yılmaz, S. and Çuvalcıoğlu, G., On level operators for temporal intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, 20(2) (2014), 6-15.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 30, 2020

Submission Date

March 16, 2019

Acceptance Date

September 19, 2019

Published in Issue

Year 2020 Volume: 69 Number: 1

APA
Kutlu, F., Tuğrul, F., & Çitil, M. (2020). Introduction to temporal intuitionistic fuzzy approximate reasoning. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 69(1), 232-251. https://doi.org/10.31801/cfsuasmas.540529
AMA
1.Kutlu F, Tuğrul F, Çitil M. Introduction to temporal intuitionistic fuzzy approximate reasoning. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69(1):232-251. doi:10.31801/cfsuasmas.540529
Chicago
Kutlu, Fatih, Feride Tuğrul, and Mehmet Çitil. 2020. “Introduction to Temporal Intuitionistic Fuzzy Approximate Reasoning”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 (1): 232-51. https://doi.org/10.31801/cfsuasmas.540529.
EndNote
Kutlu F, Tuğrul F, Çitil M (June 1, 2020) Introduction to temporal intuitionistic fuzzy approximate reasoning. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69 1 232–251.
IEEE
[1]F. Kutlu, F. Tuğrul, and M. Çitil, “Introduction to temporal intuitionistic fuzzy approximate reasoning”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 69, no. 1, pp. 232–251, June 2020, doi: 10.31801/cfsuasmas.540529.
ISNAD
Kutlu, Fatih - Tuğrul, Feride - Çitil, Mehmet. “Introduction to Temporal Intuitionistic Fuzzy Approximate Reasoning”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 69/1 (June 1, 2020): 232-251. https://doi.org/10.31801/cfsuasmas.540529.
JAMA
1.Kutlu F, Tuğrul F, Çitil M. Introduction to temporal intuitionistic fuzzy approximate reasoning. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020;69:232–251.
MLA
Kutlu, Fatih, et al. “Introduction to Temporal Intuitionistic Fuzzy Approximate Reasoning”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 69, no. 1, June 2020, pp. 232-51, doi:10.31801/cfsuasmas.540529.
Vancouver
1.Fatih Kutlu, Feride Tuğrul, Mehmet Çitil. Introduction to temporal intuitionistic fuzzy approximate reasoning. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2020 Jun. 1;69(1):232-51. doi:10.31801/cfsuasmas.540529

Cited By

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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