EN
(α,β)-INTERVAL VALUED INTUITIONISTIC FUZZY SETS DEFINED ON (α,β)-INTERVAL VALUED SET
Abstract
In this paper, (α,β)-interval valued set is studied. The order relation on (α,β)-interval valued set is defined. It is shown that (α,β)-interval valued set is complete lattice by giving the definitions of infumum and supremum on these sets. Then, negation function on these sets is introduced.
With the help of (α,β)-interval valued set ,(α,β)-interval valued intuitionistic fuzzy sets are defined. The fundamental algebraic properties of these sets are examined. The level subsets of (α,β)-interval valued intuitionistic fuzzy sets are given. Some propositions and examples are studied.
Keywords
References
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- K. T. Atanassov, G. Gargov, Interval Valued Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, Vol.31, No.3, pp.343-349 (1989).
- K. T. Atanassov, Operators over Interval Valued Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, Vol.64, No.2, pp.159-174 (1994).
- K. T. Atanassov, Intuitionistic Fuzzy Sets, Springer, Heidelberg, (1999).
- K. T Atanassov, Intuitionistic Fuzzy Sets and Interval Valued Intuitionistic Fuzzy Sets, Advanced Studies in Contemporary Mathematics, Vol.28, No.2, pp.167-176 (2018).
- G. Çuvalcıoğlu, A. Bal, M. Çitil, The α-Interval Valued Fuzzy Sets Defined on α-Interval Valued Set, Thermal Science, Vol.26, No.2, pp.665-679 (2022).
- I. Grattan-Guiness, Fuzzy Membership Mapped onto Interval and Many-valued Quantities, Z. Math. Logik. Grundladen Math, Vol.22, No.1, pp.149-160 (1975).
- B. Gorzalczany, Approximate Inference with Interval-valued Fuzzy Sets, an Outline, in: Proc. Polish Symp. on Interval and Fuzzy Mathematics, Poznan, pp.89–95 (1983).
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
January 31, 2023
Submission Date
January 12, 2023
Acceptance Date
January 30, 2023
Published in Issue
Year 2023 Volume: 6 Number: 1
APA
Bal, A., Çuvalcıoğlu, G., & Altıncı, C. (2023). (α,β)-INTERVAL VALUED INTUITIONISTIC FUZZY SETS DEFINED ON (α,β)-INTERVAL VALUED SET. Journal of Universal Mathematics, 6(1), 114-130. https://doi.org/10.33773/jum.1232944
AMA
1.Bal A, Çuvalcıoğlu G, Altıncı C. (α,β)-INTERVAL VALUED INTUITIONISTIC FUZZY SETS DEFINED ON (α,β)-INTERVAL VALUED SET. JUM. 2023;6(1):114-130. doi:10.33773/jum.1232944
Chicago
Bal, Arif, Gökhan Çuvalcıoğlu, and Cansu Altıncı. 2023. “(α,β)-INTERVAL VALUED INTUITIONISTIC FUZZY SETS DEFINED ON (α,β)-INTERVAL VALUED SET”. Journal of Universal Mathematics 6 (1): 114-30. https://doi.org/10.33773/jum.1232944.
EndNote
Bal A, Çuvalcıoğlu G, Altıncı C (January 1, 2023) (α,β)-INTERVAL VALUED INTUITIONISTIC FUZZY SETS DEFINED ON (α,β)-INTERVAL VALUED SET. Journal of Universal Mathematics 6 1 114–130.
IEEE
[1]A. Bal, G. Çuvalcıoğlu, and C. Altıncı, “(α,β)-INTERVAL VALUED INTUITIONISTIC FUZZY SETS DEFINED ON (α,β)-INTERVAL VALUED SET”, JUM, vol. 6, no. 1, pp. 114–130, Jan. 2023, doi: 10.33773/jum.1232944.
ISNAD
Bal, Arif - Çuvalcıoğlu, Gökhan - Altıncı, Cansu. “(α,β)-INTERVAL VALUED INTUITIONISTIC FUZZY SETS DEFINED ON (α,β)-INTERVAL VALUED SET”. Journal of Universal Mathematics 6/1 (January 1, 2023): 114-130. https://doi.org/10.33773/jum.1232944.
JAMA
1.Bal A, Çuvalcıoğlu G, Altıncı C. (α,β)-INTERVAL VALUED INTUITIONISTIC FUZZY SETS DEFINED ON (α,β)-INTERVAL VALUED SET. JUM. 2023;6:114–130.
MLA
Bal, Arif, et al. “(α,β)-INTERVAL VALUED INTUITIONISTIC FUZZY SETS DEFINED ON (α,β)-INTERVAL VALUED SET”. Journal of Universal Mathematics, vol. 6, no. 1, Jan. 2023, pp. 114-30, doi:10.33773/jum.1232944.
Vancouver
1.Arif Bal, Gökhan Çuvalcıoğlu, Cansu Altıncı. (α,β)-INTERVAL VALUED INTUITIONISTIC FUZZY SETS DEFINED ON (α,β)-INTERVAL VALUED SET. JUM. 2023 Jan. 1;6(1):114-30. doi:10.33773/jum.1232944