0754462c-9cc7-4b6c-8260-ea7793f43a5d20220603065120574wseas:wseasmdt@crossref.orgMDT DepositEQUATIONS2732-99762944-914610.37394/232021https://wseas.com/journals/equations/32020223202022210.37394/232021.2022.2https://wseas.com/journals/equations/2022.phpMichael Gr.VoskoglouMathematical Sciences, School of Technological Applications University of Peloponnese (ex T.E.I. of Western Greece) Meg. Alexandrou 1, 26334 Patras GREECEDecision making is the process of evaluating multiple alternatives to choose the one satisfying in the best way the existing goals. Frequently, however, the boundaries of those goals and/or of the existing constraints are not sharply defined due to the various forms of uncertainty appearing in the corresponding problems. Since the classical methods cannot be applied in such cases, several methods for decision making under fuzzy conditions have been proposed. In this work a new hybrid decision making method is developed utilizing triangular fuzzy numbers (TFNs) and soft sets as tools, which improves an earlier method of Maji, Roy and Biswas, which uses soft sets only. The importance of this improvement is illustrated by an application concerning the decision for the purchase of a house satisfying in the best possible way the goals put by the candidate buyer.632022632022656911https://wseas.com/journals/equations/2022/a22equations-011(2022).pdf10.37394/232021.2022.2.11https://wseas.com/journals/equations/2022/a22equations-011(2022).pdf10.1287/mnsc.17.4.b141Bellman, R.A., Zadeh, L.A., Decision Making in Fuzzy Environment, Management Science, 17, 1970, pp. 141-164. Alcantud, J.C.R. (Ed.), Fuzzy Techniques for Decision Making (reprint of the special issue published in Symmetry), MDPI, Basel, Switzerland, 2018. 10.3390/math9222919Fahad Kh. A.O.H. Alazemi, Mohd Khairol Anuar Bin, Mohd Ariffin , Faizal Bin Mustapha & Eris Elianddy bin Supeni, A Comprehensive Fuzzy Decision-Making Method for Minimizing Completion Time in Manufacturing Process in Supply Chains, Mathematics, 9, 2021, article 2019. 10.3390/math10081297Khan, A., Yang, M.-S., Haq, M., Shah, A. A & Arif, M., A New Approach for Normal Parameter Reduction Using σ-Algebraic Soft Sets and Its Application in Multi-Attribute Decision Making, Mathematics, 10, 2022, article 1297. 10.1007/s10700-021-09363-yZhu, B. & Ren, P., Type-2 fuzzy numbers made simple in decision making, Fuzzy Optimization and Decision Making, 21, 2022, pp.175-195. 10.1016/s0898-1221(02)00216-xMaji, P.K., Roy, A.R., Biswas, R., An Application of Soft Sets in a Decision Making Problem, Computers and Mathematics with Applications, 44, 2002, pp. 1077-1083. Zadeh, LA. Fuzzy Sets, Information and Control, 8, 1965, pp. 338-353. 10.1016/s0165-0114(86)80034-3Atanassov, K.T., Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems, 20(1), 1986, pp.87-96. Smarandache, F., Neutrosophy / Neutrosophic probability, set, and logic, Proquest, Michigan, USA, 1998. Pawlak, Z. (1991}, Rough Sets: Aspects of Reasoning about Data, Kluer Academic Publishers, Dordrecht. Voskoglou, M.Gr., Fuzzy Systems, Extensions and Relative Theories, WSEAS Transactions on Advances in Engineering Education, 16, 2019, pp. 63-69 10.1016/0020-0255(75)90036-5Zadeh, L.A., The Concept of a Linguistic Variable and its Application to Approximate Reasoning, Parts 1–3. Information Science, 8, 1975, pp.199–249 and 301–357, 9, pp.43-80. Klir, G. J. & Folger, T. A., Fuzzy Sets, Uncertainty and Information, Prentice-Hall, London, 1988. Sakawa, M., Fuzzy Sets and Interactive Multiobjective Optimization, Plenum press, NY and London, 1993. Kaufmann, A. & Gupta, M., Introduction to Fuzzy Arithmetic, Van Nostrand Reinhold Company, New York, 1991. 10.1016/s0898-1221(99)00056-5Molodtsov, D. , Soft Set Theory-First Results, Computers and Mathematics with Applications, 37(4-5), 1999, pp. 19-31. 10.1016/s0898-1221(03)00016-6Maji, P.K., Biswas, R., & Ray, A.R., Soft Set Theory, Computers and Mathematics with Applications, 45, 2003, pp. 555-562,. 10.4018/978-1-4666-9798-0.ch005Tripathy, B.K., Arun, K.R. (2016), Soft Sets and Its Applications, in J.S. Jacob (Ed.), Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing, IGI Global, Hersey, PA, 2016, pp. 65-85. 10.1142/s1793005711002025Kharal, A. & Ahmad, B., Mappings on Soft Classes, New Mathematics and Natural Computation, 7(3), 2011, pp. 471-481. 10.1016/j.camwa.2011.02.006Shabir, M. & Naz M. (2011), On Soft Topological Spaces, Computers and Mathematics with Applications, 61, 2011, pp.1786-1799. 10.46300/9106.2022.16.108Voskoglou, M.Gr., Using Soft Sets for a Parametric Assessment of Problem Solving Skills, International Journal of Circuits, Systems and Signal Processing, 16, 2022, pp. 882-886. Voskoglou, M.Gr., A Combined Use of Soft Sets and Grey Numbers in Decision Making, Journal of Computational and Cognitive Engineering, accepted for publication, 2022