COMPACTNESS IN PYTHAGOREAN FUZZY TOPOLOGICAL SPACES
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Published:
Sep 9, 2019
Page:
131-138
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A. HAYDAR EŞ
Department of Mathematics Education, Başkent University, Bağlıca Campus, 06490 Ankara, Turkey.
Abstract
In this paper, the concept of Pythagorean fuzzy compactness, Pythagorean fuzzy almost compactness and Pythagorean fuzzy near compactness are introduced and studied. We give some characterizations of Pythagorean fuzzy almost compactness in terms of Pythagorean fuzzy regular open or Pythagorean fuzzy regular closed. Also, we investigate the behavior of Pythagorean fuzzy compactness under several types of Pythagorean fuzzy continuous.
Keywords:
Pythagorean fuzzy subsets, pythagorean fuzzy topology, pythagorean fuzzy continuity, pythagorean fuzzy compactness
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Original Research Article
References
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Eş AH. Connectedness in pythagorean fuzzy topological spaces. International Journal of Mathematics Trends and Technology. 2019;65:110-116.
Chang C. Fuzzy topological spaces, J. Math. Anal. Appl. 1968;24:182-190.
Çoker D, Eş AH. On fuzzy compactness in intuitionistic fuzzy topological spaces. The Journal of Fuzzy Mathematics. 1995;3:899-909.
Gürçay H, Çoker D, Eş AH. On fuzzy continuity in intuitionistic fuzzy topological spaces. Journal of Fuzzy Mathematics. 1997;5:365-378.
Eş AH. Almost compactness and near compactness in fuzzy topological spaces, Fuzzy Sets and Systems
1987;22:289-295.
Atanassov K. Intuitionistic fuzzy sets. Fuzzy Sets and Systems. 1986;20:87-96.
Atanassov K, Stoeva S. Intionistic fuzzy sets, in: Polish Symp. on Interval and Fuzzy Mathematics, Poznan. 1983;23-26.
Çoker D. An introduction to intuitionistic fuzzy topological spaces. Fuzzy Sets and Systems. 1997; 88:81-89.
Yager RR. Pythagorean fuzzy subsets. In: 2013 joint IFSA World congress and NAFIPS annual meeting
(IFSA/NAFIPS),IEEE, Edmonton, AB, Canada. 2013;57-61.
DOI: doi.org/10.1109/IFSA-nafips.2013.6608375
Yager RR. Pythagorean membership grades in multicriteria decision making. IEE Transactions on Fuzzy Systems. 2014;22:958-965.
Olgun M, Ünver M, Yardımcı Ş. Pythagorean fuzzy topological spaces. Complex and Intelligent Systems; 2019.
DOI: doi.org/10.1007/s40747-019-0095-2
Eş AH. Connectedness in pythagorean fuzzy topological spaces. International Journal of Mathematics Trends and Technology. 2019;65:110-116.