Skip to main content
Top

2016 | OriginalPaper | Chapter

On Some Modal Type Intuitionistic Fuzzy Operators

Authors : Krassimir T. Atanassov, Janusz Kacprzyk

Published in: Innovative Issues in Intelligent Systems

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

A review of two groups of basic modal type operators, defined over the intuitionistic fuzzy sets, is given. Two new modal operators are introduced for the first time, and some of their properties are discussed. Some open problems are formulated.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
1.
go back to reference Atanassov, K.: Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia, June 1983 (Deposed in Central Sci. - Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulg.) Atanassov, K.: Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia, June 1983 (Deposed in Central Sci. - Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulg.)
4.
go back to reference Atanassov, K.: A short remark on operator X a,b,c,d,e,f. Notes Intuitionistic Fuzzy Sets 19(1) (in press) (2013) Atanassov, K.: A short remark on operator X a,b,c,d,e,f. Notes Intuitionistic Fuzzy Sets 19(1) (in press) (2013)
5.
go back to reference Atanassov, K., Gargov, G.: Intuitionistic fuzzy logic operators of a set theoretical type. In: Lakov, D. (eds.) Proceedings of the First Workshop on Fuzzy Based Expert Systems, Sofia, Sept. 28–30, pp. 39–42 (1994) Atanassov, K., Gargov, G.: Intuitionistic fuzzy logic operators of a set theoretical type. In: Lakov, D. (eds.) Proceedings of the First Workshop on Fuzzy Based Expert Systems, Sofia, Sept. 28–30, pp. 39–42 (1994)
6.
go back to reference Blackburn, P., de Rijke, M., Venema, Y.: Modal Logic. Cambridge University Press, Cambridge (2001)CrossRefMATH Blackburn, P., de Rijke, M., Venema, Y.: Modal Logic. Cambridge University Press, Cambridge (2001)CrossRefMATH
7.
go back to reference Blackburn, P., van Bentham, J., Wolter, F.: Handbook of Modal Logic. Elsevier, Amsterdam (2007)MATH Blackburn, P., van Bentham, J., Wolter, F.: Handbook of Modal Logic. Elsevier, Amsterdam (2007)MATH
8.
go back to reference Carnap, R.: Meaning and Necessity. University of Chicago Press, Chicago (1947)MATH Carnap, R.: Meaning and Necessity. University of Chicago Press, Chicago (1947)MATH
9.
10.
go back to reference Chagrov, A., Zakharyaschev, M.: Modal Logic. Oxford University Press, Oxford (1997)MATH Chagrov, A., Zakharyaschev, M.: Modal Logic. Oxford University Press, Oxford (1997)MATH
12.
go back to reference Goldblatt, R.: Mathematics of Modality. In: CSLI Lecture Notes No. 43. University of Chicago Press, Chicago (1993) Goldblatt, R.: Mathematics of Modality. In: CSLI Lecture Notes No. 43. University of Chicago Press, Chicago (1993)
13.
go back to reference Zeman, J.: Modal Logic, The Lewis-Modal Systems. Oxford University Press, Oxford (1973)MATH Zeman, J.: Modal Logic, The Lewis-Modal Systems. Oxford University Press, Oxford (1973)MATH
Metadata
Title
On Some Modal Type Intuitionistic Fuzzy Operators
Authors
Krassimir T. Atanassov
Janusz Kacprzyk
Copyright Year
2016
DOI
https://doi.org/10.1007/978-3-319-27267-2_9

Premium Partner