Authors:
Francina Shalini A.,Hemalatha G.,DOI NO:
https://doi.org/10.26782/jmcms.2026.08.00006Keywords:
Quadri-partitioned Set,Neutrosophic Hypersoft Set,Super Hypersoft Set,Abstract
The aim of this paper is to introduce the new concept of the quadripartitioned Pythagorean Neutrosophic Super Hypersoft Set and discuss some of its properties. The focus of this paper is to propose a new notion of QPNSHS and study some basic operations and results in QPNSHS. Further, we develop a systematic study on QPNSHS and obtain various properties induced by them. Some equivalent characterizations and interrelations among them are discussed with counterexamples.Refference:
I. Atanassov, Krassimir T. “Intuitionistic Fuzzy Sets.” Fuzzy Sets and Systems, vol. 20, no. 1, Aug. 1986, pp. 87–96. 10.1016/S0165-0114(86)80034-3.
II. Chatterjee, Rajashi, et al. “On Some Similarity Measures and Entropy on Quadripartitioned Single Valued Neutrosophic Sets.” Journal of Intelligent & Fuzzy Systems, vol. 30, no. 4, Mar. 2016, pp. 2475–85. 10.3233/IFS-152017.
III. Maji, P. K., A. R. Roy, et al. “An Application of Soft Sets in a Decision Making Problem.” Computers & Mathematics with Applications, vol. 44, nos. 8–9, Oct. 2002, pp. 1077–83. 10.1016/S0898-1221(02)00216-X.
IV. Maji, P. K., R. Biswas, et al. “Soft Set Theory.” Computers & Mathematics with Applications, vol. 45, nos. 4–5, Feb. 2003, pp. 555–62. 10.1016/S0898-1221(03)00016-6.
V. Molodtsov, D. “Soft Set Theory—First Results.” Computers & Mathematics with Applications, vol. 37, nos. 4–5, Feb. 1999, pp. 19–31. 10.1016/S0898-1221(99)00056-5.
VI. Hemalatha G, Francina Shalini A, “Novel Operations on Pythagorean Neutrosophic Super Hypersoft Matrices: Application in Uncertain Multi-Criteria Decision Making,” MSW Management, Vol.36, pp.2868-2875, 2026.
VII. S., Ramesh Kumar, and Stanis Arul Mary. “Quadri Partitioned Neutrosophic Soft Set.” International Research Journal on Advanced Science Hub, vol. 3, no. Special Issue ICOST 2S, Feb. 2021, pp. 106–12. 10.47392/irjash.2021.048.
VIII. Saqlain, Muhammad, et al. Aggregate Operators of Neutrosophic Hypersoft Set.
IX. Smarandache, F. “Neutrosophic Set – a Generalization of the Intuitionistic Fuzzy Set.” 2006 IEEE International Conference on Granular Computing [Atlanta, GA, USA], 2006, pp. 38–42. 10.1109/GRC.2006.1635754.
X. Smarandache, Florentin. “Foundation of the SuperHyperSoft Set and the Fuzzy Extension SuperHyperSoft Set: A New Vision.” Neutrosophic Systems with Applications, vol. 11, Nov. 2023, pp. 48–51. 10.61356/j.nswa.2023.95.
XI. Plithogenic Set, An Extension Of Crisp, Fuzzy, Intuitionistic Fuzzy, And Neutrosophic Sets – Revisited. Sept. 2018. 10.5281/ZENODO.1408740.
XII. Turksen, I. B. “Interval Valued Fuzzy Sets Based on Normal Forms.” Fuzzy Sets and Systems, vol. 20, no. 2, Oct. 1986, pp. 191–210. 10.1016/0165-0114(86)90077-1.
XIII. Zadeh, L. A. “Fuzzy Sets.” Information and Control, vol. 8, no. 3, June 1965, pp. 338–53. 10.1016/S0019-9958(65)90241-X.