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2024 | OriginalPaper | Buchkapitel

A Study on the Efficiency of Divergence Measure in Fuzzy TOPSIS Algorithm for Multi-attribute Decision Making—A Case Study on University Selection for Admission

verfasst von : Mansi Bhatia, H. D. Arora, Riju Chaudhary, Vijay Kumar

Erschienen in: Reliability Engineering for Industrial Processes

Verlag: Springer Nature Switzerland

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Abstract

In our daily lives, individuals face countless choices across different aspects. Many a times these decisions are made based on a number of factors, some of which are obvious, whereas some of them are vague and not precise. These can result in facing certain challenges while making decisions. To handle such situations Multi-Criteria Decision Making (MCDM) techniques have been developed. The aim of this article is to suggest a method to rank and hence choose a university for students’ admission using the method Fuzzy Technique for Order of Preference by Similarity to Ideal Solution (FTOPSIS). To achieve the goal a novel distance measure has been proposed, and some axiomatic properties have also been proved for the same. The proposed approach aids in the process of university selection by ranking the universities based on certain criteria in fuzzy environment. The results obtained suggest that the proposed model provides a accurate way to select the best university among the large number of choices available for the considered universities. The paper settles with a discussion of a case study and experimental findings.

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Literatur
1.
Zurück zum Zitat Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96CrossRef Atanassov K (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96CrossRef
3.
Zurück zum Zitat Yager R (2013) Pythagorean fuzzy subsets. In: Proceeding of the joint IFSA world congress and NAFIPS annual meeting (IFSA/NAFIPS), Edmonton, Canada, pp 57–61 Yager R (2013) Pythagorean fuzzy subsets. In: Proceeding of the joint IFSA world congress and NAFIPS annual meeting (IFSA/NAFIPS), Edmonton, Canada, pp 57–61
4.
Zurück zum Zitat Yager R (2013) Pythagorean membership grades in multi criteria decision making. In: Technical report MII-3301. Machine Intelligence Institute, Iona College, New Rochelle 2(4):958–965 Yager R (2013) Pythagorean membership grades in multi criteria decision making. In: Technical report MII-3301. Machine Intelligence Institute, Iona College, New Rochelle 2(4):958–965
5.
Zurück zum Zitat Yager R (2014) Pythagorean membership grades in multi criteria decision making. IEEE Trans Fuzzy Syst 22:958–965CrossRef Yager R (2014) Pythagorean membership grades in multi criteria decision making. IEEE Trans Fuzzy Syst 22:958–965CrossRef
6.
Zurück zum Zitat Fishburn P (1967) Additive utilities with finite sets: applications in the management sciences. Naval Res Logist Quart 14:1–13CrossRef Fishburn P (1967) Additive utilities with finite sets: applications in the management sciences. Naval Res Logist Quart 14:1–13CrossRef
9.
Zurück zum Zitat Chen SJ, Hwang CL (1992) Fuzzy multiple attribute decision making. Springer, New YorkCrossRef Chen SJ, Hwang CL (1992) Fuzzy multiple attribute decision making. Springer, New YorkCrossRef
10.
Zurück zum Zitat Hwang CL, Yoon K (1981) Methods for multiple attribute decision making. In: Multiple attribute decision making. Lecture notes in economics and mathematical systems, vol 186. Springer, Berlin, Heidelberg Hwang CL, Yoon K (1981) Methods for multiple attribute decision making. In: Multiple attribute decision making. Lecture notes in economics and mathematical systems, vol 186. Springer, Berlin, Heidelberg
11.
Zurück zum Zitat Hwang C, Lai Y, Liu T (1993) A new approach for multiple objective decision making. Comput Oper Res 20:889–899CrossRef Hwang C, Lai Y, Liu T (1993) A new approach for multiple objective decision making. Comput Oper Res 20:889–899CrossRef
12.
Zurück zum Zitat Chen MF, Tzeng GH (2004) Combining gray relation and TOPSIS concepts for selecting an expatriate host country. In: Mathematical and computer modelling, vol 40, pp 1473–1490 Chen MF, Tzeng GH (2004) Combining gray relation and TOPSIS concepts for selecting an expatriate host country. In: Mathematical and computer modelling, vol 40, pp 1473–1490
13.
Zurück zum Zitat Srdjevic B, Medeiros YDP, Faria AS (2004) An objective multi-criteria evaluation of water management scenarios. Water Resour Manag 18:35–54 Srdjevic B, Medeiros YDP, Faria AS (2004) An objective multi-criteria evaluation of water management scenarios. Water Resour Manag 18:35–54
14.
Zurück zum Zitat Janic M (2003) Multicriteria evaluation of high-speed rail, transrapid maglev, and air passenger transport in Europe. Transp Plann Technol 26(6):491–512 Janic M (2003) Multicriteria evaluation of high-speed rail, transrapid maglev, and air passenger transport in Europe. Transp Plann Technol 26(6):491–512
15.
Zurück zum Zitat Shih HS, Shyur HJ, Lee E (2007) An extension of TOPSIS for group decision making. Math Comput Modell 45:801–813 Shih HS, Shyur HJ, Lee E (2007) An extension of TOPSIS for group decision making. Math Comput Modell 45:801–813
16.
Zurück zum Zitat Sabaghi M, Mascle C, Baptiste P (2015) Application of DOE-TOPSIS technique in decision-making problems. IFAC-PapersOnLine 8:773–777CrossRef Sabaghi M, Mascle C, Baptiste P (2015) Application of DOE-TOPSIS technique in decision-making problems. IFAC-PapersOnLine 8:773–777CrossRef
17.
Zurück zum Zitat Zulqarnain RM et al (2020) Application of TOPSIS method for decision making 7:76–81 Zulqarnain RM et al (2020) Application of TOPSIS method for decision making 7:76–81
18.
Zurück zum Zitat Chu TC, Lin YC (2009) An interval arithmetic based fuzzy TOPSIS model. Expert Syst Appl 36:10870–10876 Chu TC, Lin YC (2009) An interval arithmetic based fuzzy TOPSIS model. Expert Syst Appl 36:10870–10876
19.
Zurück zum Zitat Zimmermann HJ (1987) Fuzzy set, decision making and expert system pp 15–44 Zimmermann HJ (1987) Fuzzy set, decision making and expert system pp 15–44
20.
Zurück zum Zitat Zimmermann HJ (1991) Fuzzy set theory – and its application, 2nd edn. Kluwer, BostonCrossRef Zimmermann HJ (1991) Fuzzy set theory – and its application, 2nd edn. Kluwer, BostonCrossRef
21.
Zurück zum Zitat Chen TY, Tsao CY (2008) The interval-valued fuzzy TOPSIS method and experimental analysis. Fuzzy Sets Syst 159(11):1410–1428MathSciNetCrossRef Chen TY, Tsao CY (2008) The interval-valued fuzzy TOPSIS method and experimental analysis. Fuzzy Sets Syst 159(11):1410–1428MathSciNetCrossRef
22.
Zurück zum Zitat Liu PD, Wang PJ (2007) Method for multiple attribute decision making with triangular fuzzy number and partial attribute weight information. J Inf Comput Sci 4(3):1017–1022 Liu PD, Wang PJ (2007) Method for multiple attribute decision making with triangular fuzzy number and partial attribute weight information. J Inf Comput Sci 4(3):1017–1022
23.
Zurück zum Zitat Wei GW, Zhao XF, Lin R, Wang HJ (2012) Generalized triangular fuzzy correlated averaging operator and their application to multiple attribute decision making. Appl Math Model 36(7):2975–2982MathSciNetCrossRef Wei GW, Zhao XF, Lin R, Wang HJ (2012) Generalized triangular fuzzy correlated averaging operator and their application to multiple attribute decision making. Appl Math Model 36(7):2975–2982MathSciNetCrossRef
24.
Zurück zum Zitat Fu S, Zhou H (2017) Triangular fuzzy number multi-attribute decision-making method based on set-pair analysis. J Softw Eng 11:116–122CrossRef Fu S, Zhou H (2017) Triangular fuzzy number multi-attribute decision-making method based on set-pair analysis. J Softw Eng 11:116–122CrossRef
25.
Zurück zum Zitat Tiwari R, Kumar R (2020) A robust and efficient MCDM-based framework for cloud service selection using modified TOPSIS. Int J Cloud Appl Comput 11:21–51 Tiwari R, Kumar R (2020) A robust and efficient MCDM-based framework for cloud service selection using modified TOPSIS. Int J Cloud Appl Comput 11:21–51
26.
Zurück zum Zitat Lathamaheswari M, Nagarajan D, Kavikumar J, Broumi S (2020) Triangular interval type-2 fuzzy soft set and its application. Complex Intell Syst 6:531–544CrossRef Lathamaheswari M, Nagarajan D, Kavikumar J, Broumi S (2020) Triangular interval type-2 fuzzy soft set and its application. Complex Intell Syst 6:531–544CrossRef
27.
Zurück zum Zitat Li DF, Nan JX (2011) Extension of the TOPSIS for multi-attribute group decision making under Atanassov IFS environments. Int J Fuzzy Syst Appl 1(4):47–61 Li DF, Nan JX (2011) Extension of the TOPSIS for multi-attribute group decision making under Atanassov IFS environments. Int J Fuzzy Syst Appl 1(4):47–61
28.
Zurück zum Zitat Sangwan R, Kaur G (2021) A review on TOPSIS Approach: from real to fuzzy settings. AJOMCOR 28(3):13–21 Sangwan R, Kaur G (2021) A review on TOPSIS Approach: from real to fuzzy settings. AJOMCOR 28(3):13–21
29.
Zurück zum Zitat Chodha V et al (2021) Selection of industrial arc welding robot with TOPSIS and entropy MCDM techniques. Mater Today Proc Chodha V et al (2021) Selection of industrial arc welding robot with TOPSIS and entropy MCDM techniques. Mater Today Proc
30.
Zurück zum Zitat Jatin S et al (2021) Selection of water purifier with TOPSIS using impartial preferences by entropy technique. Mater Today Proc. ISSN 2214-7853 Jatin S et al (2021) Selection of water purifier with TOPSIS using impartial preferences by entropy technique. Mater Today Proc. ISSN 2214-7853
31.
Zurück zum Zitat Ye J, Chen TY (2021) Selection of cotton fabrics using Pythagorean fuzzy TOPSIS approach. J Natl Fibers Ye J, Chen TY (2021) Selection of cotton fabrics using Pythagorean fuzzy TOPSIS approach. J Natl Fibers
32.
Zurück zum Zitat Fasanghari M et al (2008) The fuzzy evaluation of e-commerce customer satisfaction utilizing fuzzy TOPSIS. In: International symposium on electronic commerce and security, pp 870–874 Fasanghari M et al (2008) The fuzzy evaluation of e-commerce customer satisfaction utilizing fuzzy TOPSIS. In: International symposium on electronic commerce and security, pp 870–874
33.
Zurück zum Zitat Zhongyou X (2012) Study on the application of TOPSIS method to the introduction of foreign players in CBA games. Phys Procedia 33:2034–2039CrossRef Zhongyou X (2012) Study on the application of TOPSIS method to the introduction of foreign players in CBA games. Phys Procedia 33:2034–2039CrossRef
34.
Zurück zum Zitat Pelta DA et al (2021) Against artificial complexification: crisp vs. fuzzy information in the TOPSIS method. Atlantis Press Pelta DA et al (2021) Against artificial complexification: crisp vs. fuzzy information in the TOPSIS method. Atlantis Press
35.
Zurück zum Zitat Utomo EY, Udjiani T, Surarso B (2021) Application of fuzzy AHP and fuzzy TOPSIS methods for the new normal problem. J Phys Conf Ser, ISNPINSA, 1943, IOP science Utomo EY, Udjiani T, Surarso B (2021) Application of fuzzy AHP and fuzzy TOPSIS methods for the new normal problem. J Phys Conf Ser, ISNPINSA, 1943, IOP science
36.
Zurück zum Zitat Zhao X et al (2021) Location planning of smart charging station based on fuzzy TOPSIS method. IOP Conf Ser Earth Environ Sci 675(1):012162CrossRef Zhao X et al (2021) Location planning of smart charging station based on fuzzy TOPSIS method. IOP Conf Ser Earth Environ Sci 675(1):012162CrossRef
37.
Zurück zum Zitat Kizielewicz B, Shekhovtsov A, Sałabun W (2021) Application of similarity measures for triangular fuzzy numbers in modified TOPSIS technique to handling data uncertainty. In: Intelligent and fuzzy techniques for emerging conditions and digital transformation. INFUS. Lecture notes in networks and systems, vol 307. Springer, Cham Kizielewicz B, Shekhovtsov A, Sałabun W (2021) Application of similarity measures for triangular fuzzy numbers in modified TOPSIS technique to handling data uncertainty. In: Intelligent and fuzzy techniques for emerging conditions and digital transformation. INFUS. Lecture notes in networks and systems, vol 307. Springer, Cham
38.
Zurück zum Zitat Nie T (2021) Research on the quality evaluation for training of undergraduate majoring in logistics management and engineering based on improved TOPSIS method. J Phys Conf Ser 1931(1):012004CrossRef Nie T (2021) Research on the quality evaluation for training of undergraduate majoring in logistics management and engineering based on improved TOPSIS method. J Phys Conf Ser 1931(1):012004CrossRef
Metadaten
Titel
A Study on the Efficiency of Divergence Measure in Fuzzy TOPSIS Algorithm for Multi-attribute Decision Making—A Case Study on University Selection for Admission
verfasst von
Mansi Bhatia
H. D. Arora
Riju Chaudhary
Vijay Kumar
Copyright-Jahr
2024
DOI
https://doi.org/10.1007/978-3-031-55048-5_18

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