Finally, a formulation is proposed to measure rough degree of complex quadripartitioned single valued neutrosophic sets in the approximate space.
📌 3 Maddede Bu Makale
🎯
Amaç & Hipotez:The quadripartitioned single valued neutrosophic set consisting of the real-valued amplitude terms: truth-membership grade, contradiction-membership grade, ignorance-membership grade and falsity-membership grade, cannot handle complex-valued information.
📊
Temel Bulgular & Veri:In this paper, the ranges of grades of truth-membership, contradiction-membership, ignorance-membership and falsity-membership are extended from the interval [0,1] to unit circle in the complex plane, and thus the notion of complex quadripartitioned single valued neutrosophic set is proposed.
💡
Sonuç & Katkı:Finally, a formulation is proposed to measure rough degree of complex quadripartitioned single valued neutrosophic sets in the approximate space.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Single valued neutrosophic set · quadripartitioned single valued neutrosophic set · complex quadripartitioned single valued neutrosophic set
Abstract
The quadripartitioned single valued neutrosophic set consisting of the real-valued amplitude terms: truth-membership grade, contradiction-membership grade, ignorance-membership grade and falsity-membership grade, cannot handle complex-valued information. In this paper, the ranges of grades of truth-membership, contradiction-membership, ignorance-membership and falsity-membership are extended from the interval [0,1] to unit circle in the complex plane, and thus the notion of complex quadripartitioned single valued neutrosophic set is proposed. Further, some fundamental operations and relations on the complex quadripartitioned single valued neutrosophic sets are studied. Secondly, the rough approximations of complex quadripartitioned single valued neutrosophic sets are derived, and then their related remarkable properties are discussed. Finally, a formulation is proposed to measure rough degree of complex quadripartitioned single valued neutrosophic sets in the approximate space.
KAMACI, H. (2022). Rough Approximations of Complex Quadripartitioned Single Valued Neutrosophic Sets. Journal of New Theory, Cilt: 2021 - Sayı: 34, 45–63. https://ajindex.com/articles/565737
L. A. Zadeh, Fuzzy Sets, Information and Control 8(3) (1965) 338–353.
K. T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 20 (1986) 87–96.
N. Çağman, S. Enginoğlu, Fuzzy Soft Matrix Theory and Its Application in Decision Making, Iranian Journal of Fuzzy Systems 9(1) (2012) 109–119.
E. Aygün, H. Kamacı, Some Generalized Operations in Soft Set Theory and Their Role in Similarity and Decision Making, Journal of Intelligent and Fuzzy Systems 36(6) (2019) 6537–6547.
H. Kamacı, Interval-valued Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets and Their Applications, Cumhuriyet Science Journal 40(2) (2019) 317–331.
H. Kamacı, Linear Diophantine Fuzzy Algebraic Structures, Journal of Ambient Intelligence and Humanized Computing (2021) In Press. https://doi.org/10.1007/s12652-020-02826-x
M. J. Khan, P. Kumam, P. Liu, W. Kumam, S. Ashraf, A Novel Approach to Generalized Intuitionistic Fuzzy Soft Sets and Its Application in Decision Support System, Mathematics 7(8) (2019) 1–21.
M. Riaz, R. Hashmi, Linear Diophantine Fuzzy Set and Its Applications towards Multi-attribute Decision Making Problems, Journal of Intelligent and Fuzzy Systems 37 (2019) 5417–5439.
M. Riaz, R. Hashmi, MAGDM for Agribusiness in the Environment of Various Cubic m-polar Fuzzy Averaging Aggregation Operators, Journal of Intelligent and Fuzzy Systems 37 (2019) 3671–3691.
S. Petchimuthu, H. Garg, H. Kamacı, A.O. Atagün, The Mean Operators and Generalized Products of Fuzzy Soft Matrices and Their Applications in MCGDM, Computational and Applied Mathematics 39(2) (2020) 1–32 Article No: 68. S. Petchimuthu, H. Kamacı, The Adjustable Approaches to Multi-criteria Group Decision Making Based on Inverse Fuzzy Soft Matrices, Scientia Iranica (2020) In Press. doi: 10.24200/sci.2020.54294.3686 F. Smarandache, Neutrosophy: Neutrosophic Probability, Set, and Logic: Analytic Synthesis & Synthetic Analysis, Rehoboth: American Research Press, USA, 1998.
H. Wang, F. Smarandache, Y. Q. Zhang, R. Sunderraman, Single Valued Neutrosophic Set, Multispace and Multistructure 4 (2010) 410–413.
İ. Deli, Y. Şubaş, A Ranking Method of Single Valued Neutrosophic Numbers and Its Applications to Multi-attribute Decision Making Problems, International Journal of Machine Learning and Cybernetics 8 (2017) 1309–1322.
F. Karaaslan, Gaussian Single-valued Neutrosophic Numbers and Its Application in Multi-attribute Decision Making, Neutrosophic Sets and Systems 22 (2018) 101–117.