An Application of VFPFSS’s in Decision Making Problems

Yıl 2022, , 491 - 501, 01.06.2022

Orhan Dalkılıç

https://doi.org/10.2339/politeknik.758474

Cited By: 14

Öz

This study proposes the use of VFP-fuzzy soft sets in order to express the uncertainty problems in the best way and thus reach the most ideal result in the decision making phase. In addition, some basic set operations of this new set type are given and some properties are examined. Moreover, some technical formulations that can prevent the crowd of transactions have been given, allowing uncertainty to be expressed more easily. Finally, in a decision making problem, it has been shown that better results are obtained from VFP-soft sets and FP-fuzzy soft sets. 

Anahtar Kelimeler

VFP-fuzzy soft set, VFP-soft set, decision making

Karar Verme Problemlerinde VFPFSS’lerin Bir Uygulaması

Öz

Bu çalışma belirsizlik problemlerini en iyi şekilde ifade edebilmek ve bu sayede karar verme aşamasında en ideale yakın sonuca ulaşmak için VFP-fuzzy soft kümelerin kullanılmasını önermektedir. Ayrıca bu yeni küme tipinin bazı temel küme işlemleri verilmiş ve bazı özellikleri incelenmiştir. Dahası işlem kalabalığının önüne geçebilecek bazı teknik formülasyonlar verilerek belirsizliğin daha kolay bir şekilde ifade edilebilmesi sağlanmıştır. Son olarak bir karar verme probleminde VFP-soft kümelerden ve FP-fuzzy soft kümelerden daha iyi sonuçlara ulaşıldığı gösterilmiştir.

Anahtar Kelimeler

Karar verme, VFP-bulanık esnek küme, VFP-esnek küme, FP-fuzzy soft set

Kaynakça

• [1] Zadeh L.A., “Fuzzy sets”, Information and Control, 8:338-353, (1965).
• [2] Pawlak Z., “Rough sets”, Int J Comput Inf Sci, 11:341-356, (1982).
• [3] Molodtsov D., “Soft set theory-first results”, Comput. Math. Appl., 37:19-31, (1999).
• [4] Maji P.K., Roy A.R. and Biswas R., “Fuzzy soft sets”, Journal of Fuzzy Mathematics, 9(3):589-602, (2001).
• [5] Maji P.K., Roy A.R., Biswas R., “Soft set theory”, Computers and Mathematics with Applications, 45(4-5): 555–562, (2003).
• [6] Irfan A.M., Feng F., Liu X., Minc W.K., Shabir M., “On some new operations in soft set theory”, Computers and Mathematics with Applications, 57:1547-1553, 2009.
• [7] Shabir M., Naz M., “On soft topological spaces”, Comput. Math. Appl., 61:1786-1799, 2011.
• [8] Çağman N., Enginoğlu S., Çıtak F., “Fuzzy Set Theory and its Applications”, Iranian Journal of Fuzzy Systems, 8:137-147, (2011).
• [9] Çağman N., Çıtak F., Enginoğlu S., “FP-soft Set Theory and Its Applications”, Annals of Fuzzy Mathematics and Informatics, 2: 219-226, (2011).
• [10] Dalkılıç O., Demirtaş N., “VFP-Soft Sets and Its Application on Decision Making Problems”, Journal of Polytechnic, https://doi.org/10.2339/politeknik.685634.
• [11] Cagman N., Citak F., Enginoglu S., “Fuzzy parameterized fuzzy soft set theory and its applications”, Turkish Journal of Fuzzy Systems, 1(1): 21-35, (2010).
• [12] Roy A.R., Maji P.K., “A fuzzy soft set theoretic approach to decision making problems”, Journal of computational and Applied Mathematics, 203 (2): 412-418, (2007).
• [13] Peng X., Jingguo D., "Hesitant fuzzy soft decision making methods based on WASPAS, MABAC and COPRAS with combined weights", Journal of Intelligent and Fuzzy Systems, 33: 1313-1325, (2017).
• [14] Peng X., Harish G., "Algorithms for interval-valued fuzzy soft sets in emergency decision making based on WDBA and CODAS with new information measure", Computers and Industrial Engineering, 119: 439-452, (2018).
• [15] Demirtaş N., Hussaın S., Dalkılıç O., “New approaches of inverse soft rough sets and their applications in a decision making problem”, Journal of applied mathematics and informatics, 38(3-4): 335-349, (2020).
• [16] Demirtaş N., Dalkılıç O., “An application in the diagnosis of prostate cancer with the help of bipolar soft rough sets”, on Mathematics and Mathematics Education (ICMME 2019), KONYA, 283, (2019).
• [17] Meng D., Zhang X., Qin K. “Soft rough fuzzy sets and soft fuzzy rough sets”, Computers and mathematics with applications, 62(12): 4635-4645, (2011).