Research Article

ON INTERVAL VALUED INTUITIONISTIC FUZZY PAIRS

Volume: 1 Number: 3 October 24, 2018
EN

ON INTERVAL VALUED INTUITIONISTIC FUZZY PAIRS

Abstract

As was mentioned in [9], the first researches, related to Intuitionistic Fuzzy Sets (IFSs) started in 1983 and from the beginning, the concept of Intuitionistic Fuzzy Pair (IFP) had started to be
used. As we mentioned in [9], a lot of our colleagues working in the area of the intuitionistic fuzziness, used it without a special definition in many of their publications, using different names:
IFP, intuitionistic fuzzy couple, intuitionistic fuzzy value and others. In the mentioned paper, we proposed to the researchers in the area of the intuitionistic fuzziness to use only one name for the concept.

Keywords

References

  1. Angelova, N., M. Stoenchev. Intuitionistic fuzzy conjunctions and disjunctions from first type, Annual of “Informatics” Section, Union of Scientists in Bulgaria, Vol. 8, 2015/2016, 1-17.Atanassov, K. Intuitionistic Fuzzy Sets, Springer, Heldelberg, 1999.Atanassov, K. On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.Atanassov, K. Intuitionistic fuzzy logics as tools for evaluation of Data Mining processes,Knowledge-Based Systems, Vol. 80, 2015, 122-130.Atanassov, K. Intuitionistic fuzzy modal operators of second type over interval-valued intuitionistic fuzzy sets. Part 1, Notes on Intuitionistic Fuzzy Sets, Vol. 24, 2018, No. 2, 8-17. 7Atanassov, K. Intuitionistic fuzzy modal operators of second type over interval-valued intuitionistic fuzzy sets. Part 2, Notes on Intuitionistic Fuzzy Sets, Vol. 24, 2018, No. 3 (in press).Atanassov, K. On the Most Extended Modal Operator of First Type over Interval-Valued Intuitionistic Fuzzy Sets. Mathematics 2018, 6, 123; doi:10.3390/math6070123Atanassov, K.On the two most extended modal types of operators defined over interval valued intuitionistic fuzzy sets. Annals of Fuzzy Mathematics and Informatics (in press).Atanassov, K., E. Szmidt, J. Kacprzyk. On intuitionistic fuzzy pairs, Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 3, 1-13.Atanassov, K., Szmidt, E., Kacprzyk, J., Vassilev, P. On intuitionistic fuzzy pairs of n-th type. Issues in IFSs and GNs, 13, 2017, ISBN:978-83-61551-21-8, 136-142.Çuvalcıoğlu, G., Some properties of E ; operator. Advanced Studies in Contemporary Mathematics, Vol. 14, 2007, No. 2, 305-310.Feys R. Modal Logics, Gauthier-Villars, Paris, 1965.Szmidt, E., Distances and Similarities in Intuitionistic Fuzzy Sets, Springer, Berlin, 2014.Vassilev, P., Ribagin, S., Kacprzyk, J. (2018) A remark on intuitionistic fuzzy implications. Notes on Intuitionistic Fuzzy Sets, 24 (2), 1-7, doi: 10.7546/nifs.2018.24.2.1-78

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Peter Vassilev This is me
Bulgaria

Eulalia Szmidt This is me
Poland

Janusz Kacprzyk This is me
Poland

Publication Date

October 24, 2018

Submission Date

August 24, 2018

Acceptance Date

October 23, 2018

Published in Issue

Year 2018 Volume: 1 Number: 3

APA
Atanassov, K., Vassilev, P., Szmidt, E., & Kacprzyk, J. (2018). ON INTERVAL VALUED INTUITIONISTIC FUZZY PAIRS. Journal of Universal Mathematics, 1(3), 261-268. https://izlik.org/JA27WU78YA
AMA
1.Atanassov K, Vassilev P, Szmidt E, Kacprzyk J. ON INTERVAL VALUED INTUITIONISTIC FUZZY PAIRS. JUM. 2018;1(3):261-268. https://izlik.org/JA27WU78YA
Chicago
Atanassov, Krassimir, Peter Vassilev, Eulalia Szmidt, and Janusz Kacprzyk. 2018. “ON INTERVAL VALUED INTUITIONISTIC FUZZY PAIRS”. Journal of Universal Mathematics 1 (3): 261-68. https://izlik.org/JA27WU78YA.
EndNote
Atanassov K, Vassilev P, Szmidt E, Kacprzyk J (October 1, 2018) ON INTERVAL VALUED INTUITIONISTIC FUZZY PAIRS. Journal of Universal Mathematics 1 3 261–268.
IEEE
[1]K. Atanassov, P. Vassilev, E. Szmidt, and J. Kacprzyk, “ON INTERVAL VALUED INTUITIONISTIC FUZZY PAIRS”, JUM, vol. 1, no. 3, pp. 261–268, Oct. 2018, [Online]. Available: https://izlik.org/JA27WU78YA
ISNAD
Atanassov, Krassimir - Vassilev, Peter - Szmidt, Eulalia - Kacprzyk, Janusz. “ON INTERVAL VALUED INTUITIONISTIC FUZZY PAIRS”. Journal of Universal Mathematics 1/3 (October 1, 2018): 261-268. https://izlik.org/JA27WU78YA.
JAMA
1.Atanassov K, Vassilev P, Szmidt E, Kacprzyk J. ON INTERVAL VALUED INTUITIONISTIC FUZZY PAIRS. JUM. 2018;1:261–268.
MLA
Atanassov, Krassimir, et al. “ON INTERVAL VALUED INTUITIONISTIC FUZZY PAIRS”. Journal of Universal Mathematics, vol. 1, no. 3, Oct. 2018, pp. 261-8, https://izlik.org/JA27WU78YA.
Vancouver
1.Krassimir Atanassov, Peter Vassilev, Eulalia Szmidt, Janusz Kacprzyk. ON INTERVAL VALUED INTUITIONISTIC FUZZY PAIRS. JUM [Internet]. 2018 Oct. 1;1(3):261-8. Available from: https://izlik.org/JA27WU78YA