Decision Making Method to Optimal Selection of Area for Building Project Based on Fuzzy Parameterized Neutrosophic Soft Expert Set
Abstract
Fuzzy parameterized neutrosophic soft expert sets is a useful extension of fuzzy parameterized intuitionistic fuzzy soft expert and neutrosophic soft sets. This set deals with attributes as well but with many definitive assessments, whereas the soft set only addresses one set of attributes. The development of this model addresses the limitations of existing soft set-based models, particularly their inability to handle multiple experts’ opinions in a decision-making context. This paper’s major goal is to introduce the theory of fuzzy parameterized neutrosophic soft expert set theory. It also discusses the notion’s numerous related ideas and the basic operations on it, such as the complement, union, intersection, AND, and OR. The essential features of this idea are established, as are relevant rules such as De Morgan’s laws. A generalised algorithm is then used to apply the suggested idea of fuzzy parameterized neutrosophic soft expert sets in a decisionmaking situation. Moreover, in order to check the validity of the proposed algorithm, an example related to the choice of the area of building project using the decision-making method is presented. The suggested method provides reliable, reliable decision-making outcomes, and its enhanced capacity and dependability are confirmed by a robust comparison with earlier models.
References
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P. K. Maji, A. R. Roy, and R. Biswas, ”An application of soft sets in a decision making problem,” Computers and Mathematics with Applications, vol. 44, no. (8-9), pp. 1077-1083, 2002.
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P. K. Maji, R. Biswas, A. R. Roy, ”Fuzzy soft sets,” J.Fuzzy Math, vol. 9, no. 3, pp. 589-602, 2001.
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F. Smarandache, ”Foundation of the superhypersoft set and the fuzzy extension superhypersoft set: a new vision,” Neutrosophic Systems with Applications, vol. 11, pp. 48-51, 2023.
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Y. Jiang, Y. Tang, & Q. Chen, ”An adjustable approach to intuitionistic fuzzy soft sets based decision making,” Applied Mathematical Modelling, vol. 35, no. 2, pp. 824-836, 2011.
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M. Ihsan, M. Saeed, & A. U. Rahman, ”A rudimentary approach to develop context for convexity cum concavity on soft expert set with some generalized results,” Punjab University Journal of Mathematics, vol. 53, no. 9, pp. 621-629, 2021.
S. Alkhazaleh, and A. R. Salleh, ”Fuzzy soft expert set and its application,” Applied Mathematics, vol. 5, pp. 1349-1368, 2014.
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V. Uluc ¸ay, & M. S¸ahin, ”Intuitionistic fuzzy soft expert graphs with application,” Uncertainty discourse and applications, vol. 1, no. 1, pp. 1-10, 2024.
C¸a˘ gman, N., C¸itak, F., & Engino˘ glu, S. ”FP-soft set theory and its applications,” Annals of Fuzzy Mathematics and Informatics, vol. 2, no. 2, pp. 219-226, 2011.
N. C¸a˘gman, F. C¸itak, & S. Engino˘ glu, ”Fuzzy parameterized fuzzy soft set theory and its applications,” Turkish Journal of Fuzzy Systems, vol. 1, no. 1, pp. 21-35, 2010.
K. Zhu, & J. Zhan, ”Fuzzy parameterized fuzzy soft sets and decision making,” International Journal of Machine Learning and Cybernetics, vol. 7, no. 6, pp. 1207-1212, 2016.
M. Riaz, & M. R. Hashmi, ”Certain applications of fuzzy parameterized fuzzy soft sets in decision-making problems,” International Journal of Algebra and Statistics, vol. 5, no. 2, pp. 135-146, 2016.
E. Sulukan, N. C¸a˘gman, & T. Aydin, ”Fuzzy parameterized intuitionistic fuzzy soft sets and their application to a performance-based value assignment problem,” Journal of New Theory, vol. 29, pp. 79-88, 2019.
M. Ihsan, M. Saeed, and A. U. Rahman, ”Optimizing hard disk selection via a fuzzy parameterized single-valued neutrosophic soft set approach,” J. Oper. Strateg Anal, vol. 1, no. 2, pp. 62-69, 2023.
M. Bashir, & A. R. Salleh, ”Fuzzy parameterized soft expert set,” Abstract and Applied Analysis, pp. 1-15, 2012.
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G. Selvachandran, & A. R. Salleh, ”Fuzzy parameterized intuitionistic fuzzy soft expert set theory and its application in decision making,” Int. J. Soft Comput, vol. 11, no. 2, pp. 52-63, 2016.
K. H. Gazi, , S. P. Mondal, B. Chatterjee, N. Ghorui, A. Ghosh, & D. De, ”A new synergistic strategy for ranking restaurant locations: A decision-making approach based on the hexagonal fuzzy numbers,” RAIRO-Operations Research, vol. 57, no. 2, pp. 571-608, 2023.
Z. Pawlak, ”Rough sets,” International Journal of Computer Information Science, vol. 11, no. 5, pp. 341-356, 1982.
H. Zare Ahmadabadi, A. Saffari Darberazi, F. Zamzam, M. S. Babakhanifard, M. Kiani, & E. Mofatehzadeh, ”A model of the factors affecting supply chain resilience: an integrative approach incorporating hesitant fuzzy TOPSIS and meta-synthesis,” Journal of Applied Research on Industrial Engineering, vol. 11, no. 2, pp. 195-211, 2024.
D. Rahadian, A. Firli, H. Dinc ¸er, S. Y¨ uksel, ¨ U, Hacıoˇ glu, S ¸. C. Gherghina, & T. Aksoy, ”An evaluation of e7 countries’ sustainable energy investments: a decision-making approach with spherical fuzzy sets,” Economics, vol. 17, no. 1, pp. 20220051, 2023.
F. Smarandache, ”Neutrosophy, neutrosophic probability, set, and logic, analytic synthesis and synthetic analysis,” American Research Press, 1998.
H. Wang, F. Smarandache, Y. Zhang, & R. Sunderraman, ”Single valued neutrosophic sets,” review of the air force academy, vol. 17, no. 1, pp. 10, 2010.
M. Ghaforiyan, A. Sorourkhah, & S. A. Edalatpanah, ”Identifying and prioritizing antifragile tourism strategies in a Neutrosophic environment,” Journal of Fuzzy Extension and Applications, vol. 5, no.3, pp. 374-394, 2024.
A. Nafei, S. P. Azizi, S. A. Edalatpanah, & C. Y. Huang, ”Smart topsis: a neural networkdriven topsis with neutrosophic triplets for green supplier selection in sustainable manufacturing,” Expert Systems with Applications, vol. 255, pp. 124744, 2024.
A. Dubey, & R. Kumar, ”Neutrosophic Inventory Management: A Cost-Effective Approach,” Economics, vol. 18, no. 1, pp. 20220101, 2024.
T. N. Chusi, S. Qian, S. A. Edalatpanah, Y. Qiu, M. Bayane Bouraima, & A. B. Ajayi, ”Interval-valued spherical fuzzy extension of SWARA for prioritizing strategies to unlock Africa’s potential in the carbon credit market,” Computational Algorithms and Numerical Dimensions, vol. 3, no. 3, pp. 217-227, 2024.
M. Ihsan, A. U. Rahman, & M. Saeed, ”Single valued neutrosophic hypersoft expert set with application in decision making,” Neutrosophic Sets and Systems, vol. 47, pp. 451-471, 2021.
M. Ihsan, M. Saeed, & A. U. Rahman, ”Neutrosophic hypersoft expert set: theory and applications,” Neutrosophic Sets Syst, vol. 50, pp. 431-458, 2022.
D. Molodtsov, ”Soft set theory—first results,” Computers and Mathematics with Applications, vol. 37, no. (4-5), pp. 19-31, 1999.
R. Vellapandi, & S. Gunasekaran, ”A new decision making approach for winning strategy based on muti soft set logic,” Journal of fuzzy extension and applications, vol. 1, no. 2, pp. 112-121, 2020.
E. Karatas, A. Yolcu, & T. Y. Ozturk, (2023). Effective neutrosophic soft set theory and its application to decision-making. Afrika Matematika, vol. 34, no. 4, pp. 62, 2023.
J. Zhao, B. Li, A. U. Rahman, & M. Saeed, ”An intelligent multiple-criteria decision-making approach based on sv-neutrosophic hypersoft set with possibility degree setting for investment selection,” Management Decision, vol. 61, no. 2, pp. 472-485, 2023.
M.Pethaperumal, V. Jayakumar, S. A. Edalatpanah, A. B. K. Mohideen, & S. Annamalai, ”An enhanced madmwithlqq-rungorthopairmulti-fuzzy soft set in healthcare supplier selection,” Journal of Intelligent & Fuzzy Systems, (Preprint), pp. 1-12, 2024.
S. Debnath, ”Fuzzy hypersoft sets and its weightage operator for decision making,” Journal of fuzzy extension and applications, vol. 2, no. 2, pp. 163-170, 2021.
F. Smarandache, ”Soft set product extended to hypersoft set and indetermsoft set cartesian product extended to indetermhypersoft set,” Journal of fuzzy extension and applications, vol. 3, no. 4, pp. 313-316, 2022.
A. Mehmood, A. Ahmad, M. Nawaz, M. M. Saeed, & G. Nordo, ”Discussion on entropy and similarity measures and their few applications because of vague soft sets,” Systemic Analytics, vol. 2, no. 1, pp. 157-173, 2024.
A. Sezgin, & A. ˙ Ilgin, ”Soft intersection almost bi-quasi ideals of semigroups,” Soft Computing Fusion with Applications, vol. 1, no. 1, pp. 27-42, 2024.
P. K. Maji, R. Biswas, and A. R. Roy, ”Soft set theory,” Computers and Mathematics with Applications,vol. 45, no.(4-5), pp. 555-562, 2003.
M. I. Ali, F. Feng, X. Liu, W. K. Min, M. Shabir, ”On some new operations in soft set theory,” Comput Math Appl, vol. 57, no. 9, pp. 1547–1553, 2009.
P. K. Maji, A. R. Roy, and R. Biswas, ”Fuzzy soft sets,” Journal of Fuzzy Mathematics, vol. 9, pp. 589-602, 2001.
P. K. Maji, A. R. Roy, and R. Biswas, ”An application of soft sets in a decision making problem,” Computers and Mathematics with Applications, vol. 44, no. (8-9), pp. 1077-1083, 2002.
N. C¸a˘ gman, S. Engino˘glu, ”Soft matrix theory and its decision making,” Comput Math Appl, vol. 59, no. 10, pp. 308–3314, 2010.
N. C¸a˘ gman, S. Engino˘glu, ”Soft set theory and uni-int decision making,” Eur J Oper Res, vol. 207, no. 2, pp. 848–855, 2010.
D. Chen, E. C. C, D. Tsang, S. Yeung, and X. Wang, ”The parameterization reduction of soft sets and its applications,” Computers and Mathematics with Applications, vol. 49, no. (5-6), pp. 757-763, 2005.
F. Feng, Y. Li, V. Leoreanu-Fotea, ”Application of level soft sets in decision making based on interval-valued fuzzy soft sets,” J Comput Math Appl, vol. 60, no. 6, pp. 1756-1767, 2010.
Y. Jiang, Y. Tang, Q. Chen, ”An adjustable approach to intuitionistic fuzzy soft sets based decision making,” Appl Math Model, vol. 35, no. 2, pp. 824-836, 2011.
F. Feng, X. Y. Liu, V. Leoreanu-Fotea, Y. B. Jun, ”Soft sets and soft rough sets,” Inform Sci, vol. 181, no. 6, pp. 1125-1137, 2011.
P. K. Maji, A. R. Roy, R. Biswas, ”An applications of soft sets in a decision making problem,” Comput Math Appl, vol. 44, no.(8-9), PP. 1077-1083, 2002.
F. Feng, Y. B. Jun, X. Liu, L. Li, ”An adjustable approach to fuzzy soft set based decision making,” J Comput Appl Math., vol. 234, no. 1, pp. 10-20, 2010.
P. K. Maji, R. Biswas, A. R. Roy, ”Fuzzy soft sets,” J.Fuzzy Math, vol. 9, no. 3, pp. 589-602, 2001.
J. Zhan, Q. Liu, B. Davvaz, ”A new rough set theory: rough soft hemirings,” J. Intell. Fuzzy System, vol. 28, no. 4, pp. 1687-1697, 2015.
K. Muniba, M. N. Jafar, A. Riffat, J. Mukhtar, & A. Saleem, ”Climate change prediction model using mcdm technique based on neutrosophic soft functions with aggregate operators,” Neutrosophic Systems with Applications, vol. 21, pp. 25-35, 2024.
F. Smarandache, ”Foundation of the superhypersoft set and the fuzzy extension superhypersoft set: a new vision,” Neutrosophic Systems with Applications, vol. 11, pp. 48-51, 2023.
T. M. Basu, N. K. Mahapatra, & S. K. Mondal, ”A balanced solution of a fuzzy soft set based decision making problem in medical science,” Applied soft computing, vol. 12, no. 10, pp. 3260-3275, 2012.
Y. Jiang, Y. Tang, & Q. Chen, ”An adjustable approach to intuitionistic fuzzy soft sets based decision making,” Applied Mathematical Modelling, vol. 35, no. 2, pp. 824-836, 2011.
A. U. Rahman, M. Saeed, M. Arshad, M. Ihsan, M. R. Ahmad, ”(m; n)-Convexity-cumconcavity on fuzzy soft set with applications in first and second Sense,” Punjab University Journal of Mathematics, vol. 53, no. 1, pp. 19-33, 2021.
A. U. Rahman, M. Saeed, M. Arshad, M. Ihsan, S. Ayaz, ”A Conceptual framework of mconvex and m-concave sets under soft set environmentwith properties,” Transactions in Mathematical and Computational Sciences, vol. 1, no. 1, pp. 40-60, 2021.
S. Alkhazaleh, A. R. Salleh, ”Soft expert sets,” Adv. Decis. Sci., no. 757868-1, 2011.
M. Ihsan, M. Saeed, & A. U. Rahman, ”A rudimentary approach to develop context for convexity cum concavity on soft expert set with some generalized results,” Punjab University Journal of Mathematics, vol. 53, no. 9, pp. 621-629, 2021.
S. Alkhazaleh, and A. R. Salleh, ”Fuzzy soft expert set and its application,” Applied Mathematics, vol. 5, pp. 1349-1368, 2014.
M. Ihsan, A. U. Rahman, M. Saeed, & H. A. E. W. Khalifa, ”Convexity-cum-concavity on fuzzy soft expert set with certain properties,” International Journal of Fuzzy Logic and Intelligent Systems, vol. 21, no. 3, pp. 233-242, 2021.
S. Broumi, and F. Smarandache, ”Intuitionistic fuzzy soft expert sets and its application in decision making,” Journal of new theory, vol. 1, pp. 89-105, 2015.
V. Uluc ¸ay, & M. S¸ahin, ”Intuitionistic fuzzy soft expert graphs with application,” Uncertainty discourse and applications, vol. 1, no. 1, pp. 1-10, 2024.
C¸a˘ gman, N., C¸itak, F., & Engino˘ glu, S. ”FP-soft set theory and its applications,” Annals of Fuzzy Mathematics and Informatics, vol. 2, no. 2, pp. 219-226, 2011.
N. C¸a˘gman, F. C¸itak, & S. Engino˘ glu, ”Fuzzy parameterized fuzzy soft set theory and its applications,” Turkish Journal of Fuzzy Systems, vol. 1, no. 1, pp. 21-35, 2010.
K. Zhu, & J. Zhan, ”Fuzzy parameterized fuzzy soft sets and decision making,” International Journal of Machine Learning and Cybernetics, vol. 7, no. 6, pp. 1207-1212, 2016.
M. Riaz, & M. R. Hashmi, ”Certain applications of fuzzy parameterized fuzzy soft sets in decision-making problems,” International Journal of Algebra and Statistics, vol. 5, no. 2, pp. 135-146, 2016.
E. Sulukan, N. C¸a˘gman, & T. Aydin, ”Fuzzy parameterized intuitionistic fuzzy soft sets and their application to a performance-based value assignment problem,” Journal of New Theory, vol. 29, pp. 79-88, 2019.
M. Ihsan, M. Saeed, and A. U. Rahman, ”Optimizing hard disk selection via a fuzzy parameterized single-valued neutrosophic soft set approach,” J. Oper. Strateg Anal, vol. 1, no. 2, pp. 62-69, 2023.
M. Bashir, & A. R. Salleh, ”Fuzzy parameterized soft expert set,” Abstract and Applied Analysis, pp. 1-15, 2012.
A. Hazaymeh, I. B. Abdullah, Z. Balkhi, & R. Ibrahim, ”Fuzzy parameterized fuzzy soft expert set,” Applied Mathematical Sciences, vol. 6, no. 112, pp. 5547-5564, 2012.
G. Selvachandran, & A. R. Salleh, ”Fuzzy parameterized intuitionistic fuzzy soft expert set theory and its application in decision making,” Int. J. Soft Comput, vol. 11, no. 2, pp. 52-63, 2016.
K. H. Gazi, , S. P. Mondal, B. Chatterjee, N. Ghorui, A. Ghosh, & D. De, ”A new synergistic strategy for ranking restaurant locations: A decision-making approach based on the hexagonal fuzzy numbers,” RAIRO-Operations Research, vol. 57, no. 2, pp. 571-608, 2023.
Published
2025-07-24
How to Cite
IHSAN, Muhammad.
Decision Making Method to Optimal Selection of Area for Building Project Based on Fuzzy Parameterized Neutrosophic Soft Expert Set.
Yugoslav Journal of Operations Research, [S.l.], july 2025.
ISSN 2334-6043.
Available at: <https://yujor.fon.bg.ac.rs/index.php/yujor/article/view/1360>. Date accessed: 31 july 2025.
doi: https://doi.org/10.2298/YJOR2407015027I.
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Section
Research Articles
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
