As of August 2024, International Journal "Notes on Intuitionistic Fuzzy Sets" is being indexed in Scopus.
Please check our Instructions to Authors and send your manuscripts to nifs.journal@gmail.com. Next issue: September/October 2024.

Open Call for Papers: International Workshop on Intuitionistic Fuzzy Sets • 13 December 2024 • Banska Bystrica, Slovakia/ online (hybrid mode).
Deadline for submissions: 16 November 2024.

Issue:A mathematical model using temporal intuitionistic fuzzy sets

From Ifigenia, the wiki for intuitionistic fuzzy sets and generalized nets
Jump to navigation Jump to search
shortcut
http://ifigenia.org/wiki/issue:nifs/28/4/475-490
Title of paper: A mathematical model using temporal intuitionistic fuzzy sets
Author(s):
S. P. Geetha
Department of Mathematics, Vellalar College for Women, Erode-638 012, Tamilnadu, India
geetha_sams@rediffmail.com
R. Parvathi
Department of Mathematics, Vellalar College for Women, Erode-638 012, Tamilnadu, India
paarvathis@rediffmail.com
Presented at: International Workshop on Intuitionistic Fuzzy Sets, founded by Prof. Beloslav Riečan, 2 December 2022, Banská Bystrica, Slovakia
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 28 (2022), Number 4, pages 475–490
DOI: https://doi.org/10.7546/nifs.2022.28.4.475-490
Download:  PDF (311  Kb, File info)
Abstract: Krassimir T. Atanassov’s intuitionistic fuzzy sets (IFS), one of the extensions of fuzzy sets, have shown to be one of the most effective ways to handle ambiguity. John N. Mordeson and Davender S. Malik developed the idea of a fuzzy finite state machine. Intuitionistic fuzzy finite state machines were created by Jun as a generalisation of fuzzy finite state machines. In order to increase the uncertainty and lower the periodic functions in intuitionistic fuzzy finite state automata, new membership and non-membership functions based on transitions were introduced in this study. Also, temporal intuitionistic fuzzy automata (TIFA) were defined and used to model a pattern.
Keywords: Intuitionistic fuzzy finite state automata, Temporal intuitionistic fuzzy finite state automata, Modeling a pattern.
AMS Classification: 03D05.
References:
  1. Aho, A. V., & Ullman, J. D. (1994). Foundations of Computer Science. Computer Science Press, New York.
  2. Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
  3. Honda, N. (1975). Applications of fuzzy set theory to automata and linguistics. Journal of Japanese Automation and Automatic Control Engineers, 19, 249–254.
  4. Hopcroft, J. E., Motwani, R., & Ullman, J. D. (2011). Introduction to Automata Theory, Languages, and Computation, Third edition. Pearson.
  5. Lee, E. T., & Zadeh, L. A. (1969). Note on fuzzy languages. Information Sciences, 1(4), 421–434.
  6. Mateescu, A., Salomaa, A., Salomaa, K., & Yu, S. (1995). Lexical analysis with a simple finite-fuzzy-automaton model. Journal of Universal Computer Science. 1(5), 292–311.
  7. Moreno-Garcia, J., Linares, L. J., Castro-Schez, J. J., & Benitez, L. R. (2004). A direct linguistic induction method for systems, Fuzzy Sets and Systems, 146(1), 79–96.
  8. Pathak, A., & Pal, S. K. (1986). Fuzzy Grammars in Syntactic recognition of skeletal maturity from X-rays. IEEE Transactions on Systems Man and Cybernetics, 16(5), 657–667.
  9. Perrin, D., & Pin, J.-E. (1995) Semigroup and automata on infinite words. In: J. Fountain (Ed.), NATO Advanced Study Institute Semigroups, Formal Languages and Groups. Kluwer Academic Publishers, Dordrecht, 466, 49–72.
  10. Rajaretnam, T., & Ayyaswamy, S. K. (2011). Fuzzy monoids in a Fuzzy finite state automaton with unique membership transition on an input symbol. International Journal of Mathematics and Scientific Computing, 1(1), 48–51.
  11. Shamsizadeh, M., & Zahedi, M. M. (2015). Intuitionistic general fuzzy automata. Soft Computing, 20(9), 3505–3519.
  12. Tumer, M. B., Belfore, L. A., & Ropella, K. M. (2003) A syntactic methodology for automatic diagnosis by analysis of continuous time measurements using hierarchical signal representation. IEEE Transactions on Systems, Man and Cybernetics, Part B, 33(6), 951–965.
  13. Wee, W. G., & Fu, K. S. (1969). A formulation of fuzzy automata and its applications as a model of learning Systems, IEEE Transactions on Solid State Circuits, SSC-5, 3, 215–223.
  14. Zhang, X., & Li, Y. (2009). Intuitionistic fuzzy recognizers and intuitionistic fuzzy finite automata. Soft Computing, 13, 611–616.
  15. Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8, 338–353.
Citations:

The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.