Effective Fuzzy Parameterized Soft Set with Application in Decision Making

Autor/innen

  • Umar F. Muhammad Department of Mathematics, Faculty of Natural and Applied Sciences, Nigerian Army University Biu, Nigeria Autor/in
  • Elijah E. Edeghagba Department of Mathematical Sciences, Sa’adu Zungur University Bauchi, Nigeria Autor/in
  • Yakub Y. Ejalonibu Department of Mathematics, Faculty of Natural and Applied Sciences, Nigerian Army University Biu, Nigeria Autor/in
  • Hauwa M. Muhammad Department of Mathematical Sciences, Sa’adu Zungur University Bauchi, Nigeria Autor/in

DOI:

https://doi.org/10.62054/ijdm/0201.09

Schlagwörter:

Fuzzy Soft Set, Fuzzy Parameterized Soft Set, Effective Fuzzy Soft Set, Basic Operations, Algebraic Properties

Abstract

In this paper, we introduce the concept of effective fuzzy parameterized soft set in the framework of effective set; where the decision on the selection of any element in the power set of the universal set is influenced by the effects the elements in the effective set has over each parameter. In this context, we define some basic set operations and consider some algebraic properties by proving the De-morgan’s laws and the distributive laws. Lastly, we develop a new algorithm and apply the concept to efficiently solve a hypothetical case involving evaluation process

Literaturhinweise

Adam F. and Hassan N. (2014a). Q-Fuzzy Soft Set. Applied Mathematical Sciences. 174(8), 8689-8695.

Adam F. and Hassan N. (2014b). Operations on Q-Fuzzy Soft set. Applied Mathematical Sciences.

(8), 8697-8701.

Adam F. and Hassan N. (2014c). Multi Q-Fuzzy Parameterized Soft Set and its Application. Journal of Intelligent

and Fuzzy Systems, 27(1), 419-424.

Alcantud, J. C. R. and Torrecillas, M. J. M. (2018). Intertemporal Choice of Fuzzy Soft Sets. Symmetry.10(9), 371.

DOI:10.3390/Sym10090371.

Alkhazaleh, S. (2022). Effective Fuzzy Soft Set Theory and its Applications. Applied Computational Intelligence and Soft Computing. vol. 2022.

Ali, M. I., Feng, F., Liu, X. and Min, W. K. (2009). On Some New Operations in Soft Set Theory. Computers and

Mathematics with Applications, 57(9), 1547-1553.

Cagman, N. and Enginoglu, S. (2010a). Soft matrix theory and its decision making. Computer and Mathematics with

Applications. 59(10), 3308. DOI:10.1016/j.camwa.2010.03.015.

Cagman, N., Citak, F. and Enginoglu, S. (2010b). Fuzzy Parameterized Fuzzy Soft Set Theory and its Applications. Turkish Journal of Fuzzy Systems. 1(1), 21-35.

Cagman, N., Enginoglu, S. and Citak, F. (2011a). Fuzzy Soft Set Theory and its Applications. Iranian Journal of

Fuzzy System. 8(3), 137-147.

Cagman, N., Citak, F. and Enginoglu, S. (2011b). Fuzzy Parameterized Soft Set Theory And its Applications. Annals

of Fuzzy Mathematics and Informatics, 2(2), 219-226.

Dey, A., Senapati, T., Pal, M. and Chen, G. (2020). A Novel Approach to Hesitant Multi-Fuzzy Soft Set Based

Decision-Making. AIMS Mathematic, 5(3), 1985-2008. DOI:10.3934/math.2020132.

Feng, F., Jun, Y., Liu, X. and Li, L. (2010). An Adjustable Approach to Fuzzy Soft Set Based Decision Making.

Journal of Computational and Applied Mathematics, 234, 10-20.

Kharal, A. and Ahmad, B. (2010). Mappings on Soft Classes. New Mathematics and Natural Computation. vol. 07,

no. 03. DOI:10.1142/S1793005711002025.

Kong, Z., Gao, L., Wang, L. and Li, S. (2008). The Normal Parameter Reduction of Soft Sets and its

Algorithm. Computers and Mathematics with Applications. 56, 3029-3037.

Liu, Z., Qin, K. and Pei, Z. (2017). A Method for Fuzzy Soft Set in Decision-Making Based on an Ideal Solution.

Symmetry. vol. 9, pp. 246. DOI:10.3390/sym9100246.

Maji, P. K., Biswas, R. and Roy, A. R. (2001). Fuzzy Soft Sets. Journal of Fuzzy Mathematics, 9(3), 677-691.

Maji, P. K. and Roy, A. R. (2002). An Application of Soft Sets in a Decision-Making Problem. Computers and

Mathematics with Applications, 44, 1077-1083.

Molodtsov, D. A. (1999). Soft Set Theory-First Results. Computers and Mathematics with Applications, 37,

-31.

Nasef, A. A., El-Maghrabi, A. I., Elfeky, A. M. and Jafari, S. (2018). Soft Set Theory and Its Applications. International Conference on Topology and its Application. pp. 211-222.

Nasef, A. A., Elfeky, A. M., El-Maghrabi, A. I. and Jafari, S. (2018). Another Application of Fuzzy Soft Sets in Real

Life Problems. International Conference on Topology and its Application. pp. 202-210.

Phaengtan, K., Aimcharoen, N. and Suebsan, P. (2021). Partial averages of fuzzy soft sets in decision-making

problems. Journal of interdisciplinary Mathematics, 24(4), 1035-1052.

Renukadevi, V. and Sangeetha, G. (2020). A new decision-making approach for winning strategy based on multi soft

set logic Journal of Fuzzy Extension and Applications, 1(2), 112–121.

Rodriguez, R. M., Labella, A. and Martinez, L. (2016). An overview on fuzzy modeling of complex linguistic

preferences in decision making. International Journal Computer Intelligence System, 9, 81-94.

Roy, A. R. and Maji, P. K. (2007). A Fuzzy Soft Set Theoretic Approach to Decision Making Problems. Journal of

Computational and Applied Mathematics, 203, 412-418.

Sanchez, E. (1976). Resolution of composite fuzzy relation equations. Information Control, 30(1), 38-48.

Sanchez, E. (1979). Inverses of fuzzy relations, application to possibility distributions and medical diagnosis. Fuzzy

Sets System, 2(1), 75-86.

Somen, D. (2021). Fuzzy hypersoft sets and its weightage operator for decision-making. Journal of fuzzy

extension and Applications, 2(2), 163-170.

Yao, B. X., Liu, J. and Yan, R. X. (2008). Fuzzy Soft Set and Soft Fuzzy Set. IEEE Fourth International Conference on Natural Computation, pp. 252-255.

Zadeh, L. A. (1965). Fuzzy Sets. Information and Control, 8, 338-353

Veröffentlicht

2025-04-02

Zitationsvorschlag

Effective Fuzzy Parameterized Soft Set with Application in Decision Making. (2025). International Journal of Development Mathematics (IJDM), 2(1), 111-130. https://doi.org/10.62054/ijdm/0201.09

Ähnliche Artikel

1-10 von 98

Sie können auch eine erweiterte Ähnlichkeitssuche starten für diesen Artikel nutzen.