Multi-criteria decision making approach based on SVTrN Dombi aggregation functions

Artificial Intelligence Review - Tập 54 Số 5 - Trang 3685-3723 - 2021
Chiranjibe Jana1, G. Muhiuddin2, Madhumangal Pal1
1Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India
2Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia

Tóm tắt

Từ khóa


Tài liệu tham khảo

Anisseh M, Piri F, Shahraki MR, Agamohamadi F (2012) Fuzzy extension of TOPSIS model for group decision making under multiple criteria. Artif Intell Rev 38(4):325–338

Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Set Syst 20:87–96

Atanassov KT, Gargov G (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets Syst 31(3):343–349

Beg I, Rashid T (2014) Group decision making using intuitionistic hesitant fuzzy sets. Int J Fuzzy Log Intell Syst 14(3):181–187

Biswas P, Pramanik S, Giri BC (2019a) Neutrosophic TOPSIS with group decision making. In: Kahraman C., Otay İ. (eds) Fuzzy multi-criteria decision-making using neutrosophic sets. studies in fuzziness and soft computing, vol 369, Springer, cham

Biswas P, Pramanik S, Giri BC (2014a) Cosine similarity measure base multi-attribute decision making with trapesoidal fuzzy neutrosophic numbers. Neutrosophic Sets Syst 8:46–56

Biswas P, Pramanik S, Giri BC (2014b) Entropy based grey relational analysis method for multi-attribute decision making under single valued neutrosophic assessments. Neutrosophic Sets Syst 2:102–110

Biswas B, Pramanik S, Giri BC (2018) TOPSIS strategy for multi-attribute decision making with trapezoidal neutrosophic numbers. Neutrosophic Sets Syst 19:29–39

Biswas P, Pramanik S, Giri BC (2018a) Distance measure based MADM strategy with interval trapezoidal neutrosophic numbers. Neutrosophic Sets Syst 19:40–46

Biswas P, Pramanik S, Giri BC (2019b) NH-MADM strategy in neutrosophic hesitant fuzzy set environment based on extended GRA. Informatica 30(2):213–242

Biswas P, Pramanik S, Giri BC (2014c) A new methodology for neutrosophic multi-attribute decisionmaking with unknown weight information. Neutrosophic Sets Syst 3:42–50

Broumi S, Smarandache F (2014) Single valued neutrosophic trapezoid linguistic aggregation operators based multi-attribute decision making. Bull Pure Appl Sci 33(2):135–155

Chen J, Ye J (2017) Some single-valued neutrosophic Dombi weighted aggregation operators for multiple attribute decision-making. Symmetry 9(82):1–11

Deli I, Subas Y (2015) Some weighted geometric operators with SVTrN-numbers and their application to multi-criteria decision making problems. J Intell Fuzzy Syst 32:291–301. https://doi.org/10.3233/jifs-151677

Deli I, Şubaş Y (2014) Single valued neutrosophic numbers and their applications to multi-criteria decision making problem. viXra preprint: viXra arXiv:1412.0012

Deng W, Zhang SJ, Zhao HM, Yang XH (2018) A novel fault diagnosis method based on integrating empirical wavelet transform and fuzzy entropy for motor bearing. IEEE Access 6(1):35042–35056

Deng W, Yao R, Zhao HM, Yang XH, Li GY (2019) A novel intelligent diagnosis method using optimal LS-SVM with improved PSO algorithm. Soft Comput 23(7):2445–2462

Derrac J, Chiclana F, Garcia S, Herrera F (2016) Evolutionary fuzzy $$k$$-nearest neighbors algorithm using interval-valued fuzzy sets. Inf Sci 329:144–163

Deschrijver G, Cornelis C, Kerre EE (2004) On the representation of intuitionistic fuzzy $$t$$-norms and $$t$$-conorms. IEEE Trans Fuzzy Syst 12:45–61

Deschrijver G, Kerre EE (2002) Ageneralization of operators on intuitionistic fuzzy sets using triangular norms and conorms. Notes Intuit Fuzzy Sets 8:19–27

Dombi J (1982) A general class of fuzzy operators, the demorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators. Fuzzy Sets Syst 8:149–163

Fan C, Ye J, Hu K, Fan E (2017) Bonferroni mean operators of linguistic neutrosophic numbers and their multiple attribute group decision-making methods. Information 8:107. https://doi.org/10.3390/info8030107

Garg H, Kumar K (2018) A novel exponential distance and its based TOPSIS method for interval-valued intuitionistic fuzzy sets using connection number of SPA theory. Artif Intell Rev 53:595–624. https://doi.org/10.1007/s10462-018-9668-5

Gupta A, Kohli S (2016) An MCDM approach towards handling outliers in web data: a case study using OWA operators. Artif Intell Rev 46(1):59–82

He X (2018) Typhoon disaster assessment based on Dombi hesitant fuzzy information aggregation operators. Nat Hazards 90(3):1153–1175

Jana C, Pal M (2019a) A robust single-Valued neutrosophic soft aggregation operators in multi-criteria decision making. Symmetry 11(1):110. https://doi.org/10.3390/sym11010110

Jana C, Senapati T, Pal M, Yager RR (2019b) Picture fuzzy Dombi aggregation operators: Application to MADM process. Appl Soft Comput 74:99–109

Jana C, Pal M, Wang JQ (2019c) Bipolar fuzzy Dombi aggregation operators and its application in multiple attribute decision making process. J Ambient Intell Humaniz Comput 10(9):3533–3549

Jana C, Pal M, Wang JQ (2019d) Bipolar fuzzy Dombi prioritized aggregation operators in multiple attribute decision making. J soft comput 24:3631–3646. https://doi.org/10.1007/s00500-019-04130-z

Jana C, Senapati T, Pal M (2019e) Pythagorean fuzzy Dombi aggregation operators and its applications in multiple attribute decision-making. Int J Intell Syst 34:2019–2038

Jana C, Pal M, Karaaslan F, Wang JQ (2018) Trapezoidal neutrosophic aggregation operators and its application in multiple attribute decision-making process. Sci Iran E 27:1655–1673. https://doi.org/10.24200/sci.2018.51136.2024

Ji P, Zhang HY, Wang JQ (2018) A projection-based TODIM method under multi-valued neutrosophic environments and its application in personnel selection. Neural Comput Appl 29(1):221–234

Ji P, Wang JQ, Zhang HY (2018) Frank prioritized Bonferroni mean operator with single-valued neutrosophic sets and its application in selecting third-party logistics providers. Neural Comput Appl 30(3):799–823

Li J, Wang JQ (2017) Multi-criteria outranking methods with hesitant probabilistic fuzzy sets. Cognit Comput 9:611–625

Liang RX, Wang JQ, Li L (2018a) Multi-criteria group decision-making method based on interdependent inputs of single-valued trapezoidal neutrosophic information. Neural Comput Appl 30(1):241–260

Liang RX, Wang JQ, Zhang HY (2018b) A multi-criteria decision-making method based on single-valued trapezoidal neutrosophic preference relations with complete weight information. Neural Comput Appl 30(11):3383–3398

Lin M, Wang H, Xu Z (2019) TODIM-based multi-criteria decision-making method with hesitant fuzzy linguistic term sets. Artif Intell Rev. https://doi.org/10.1007/s10462-019-09774-9

Liu C, Luo Y (2016) Correlated aggregation operators for simplified neutrosophic set and their application in multi-attribute group decision making. J Intell Fuzzy Syst 30(3):1755–1761

Liu P, Li H (2015) Multiple attribute decision-making method based on some normal neutrosophic Bonferroni mean operators. Neural Comput Appl 25(7–8):1–16

Liu P, Wang Y (2014) Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean. Neural Comput Appl 25:2001–2010

Liu P, Li Y, Chen Y (2014) Some generalized neutrosophic number Hamacher aggregation operators ad their application to group decision making. Int J Fuzzy Syst 16(2):212–255

Liu P (2016) The aggregation operators based on archimedean t-conorm and t-norm for single-valued neutrosophic numbers and their dpplication to decision making. Int J Fuzzy Syst 18(5):849–863

Liu P, Zhang L, Liu X, Wang P (2016) Multi-Valued neutrosophic number Bonferroni mean operators with their applications in multiple attribute group decision making. Int J Inf Technol Decis Mak 15:1–28

Liu P, Liu JL, Chen SM (2017) Some intuitionistic fuzzy Dombi Bonferroni mean operators and their application to multi-attribute group decision making. J Oper Res Soc 69:1–26

Lu Z, Ye J (2017) Single-valued neutrosophic hybrid arithmetic and geometric aggregation operators and their decision-making method. Information 8:84. https://doi.org/10.3390/info8030084

Nancy Garg H (2016) Novel single-valued neutrosophic aggregated operators under frank norm operation and its application to decision-making process. Int J Uncertain Quantif 6(4):361–375

Peng J, Wang JQ, Chen H (2016) Simplified neutrosophic sets and their applications in multi-citeria group decision making problems. Int J Syst Sci 47(10):2342–2358

Pramanik S, Mallick R (2019) TODIM strategy for multi-attribute group decision making in trapezoidal neutrosophic number environment. Complex Intell Syst 5:379–389. https://doi.org/10.1007/s40747-019-0110-7

Pramanik S, Mallick R (2018) VIKOR based MAGDM strategy with Trapezoidal neutrosophic numbers. Neutrosophic Sets Syst 22:118–130

Smarandache F (1999) A unifying field in logics. neutrosophic probability, set and logic. American Research Press, Rehoboth

Smarandache F (2005) Neutrosophic set- a generalization of the intuitionistic fuzzy set. Int J Pure Appl Math 24(3):28–297

Smarandache F, Vlãdãreanu L (2015) Applications of neutrosophic logic to robotics. https://www.researchgate.net/publication/268443363_Applications_of_Neutrosophic_Logic_to_Robotics_An_Introduction

Tan R, Zhang W, Chen S (2017) Some generalized single valued neutrosophic linguistic operators and their application to multiple attribute group decision making. J Syst Sci Inf 5(2):148–162

Thamaraiselvi A, Santhi RA (2016) new approach for optimization of real life transportation problem in neutrosophic environment. Math Probl Eng 2016, Article ID 5950747, 9 pages. https://doi.org/10.1155/2016/5950747

Wang JQ, Nie RR, Zhang HY (2013) New operators on triangular intuitionistic fuzzy numbers and their applications in system fault analysis. Inf Sci 251:79–95

Wan SP (2013) Power average operators of trapezoidal intuitionistic fuzzy numbers and application to multi-attribute group decision making. Appl Math Model 37(6):4112–4126

Wang WZ, Liu XW (2011) Intuitionistic fuzzy geometric aggregation operators based on Einstein operations. Int J Intell Syst 26(11):1049–1075

Wang H, Smarandache F, Zhang YQ, Sunderraman R (2010) Single valued neutrosophic sets. Multispace Multistruct 4:410–413

Wang JQ, Zhang Z (2009) Aggregation operators on intuitionistic trapezoidal fuzzy number and its application to multi-criteria decision making problems. Syst Eng Electr 20(2):321–326

Wu Q, Wu P, Zhou L, Chen H, Guan X (2018) Some new Hamacher aggregation operators under single-valued neutrosophic 2-tuple linguistic environment and their applications to multiattribute group decision making. Comput Ind Eng 11(6):144–162

Xia MM, Xu ZS, Zhu B (2012) Some issues on intuitionistic fuzzy aggregation operators based on Archimedean t-conorm and t-norm. Knowl Based Syst 31(1):78–88

Xu ZS (2012) Intuitionistic fuzzy multi-attribute decision making: an interactive method. IEEE Trans Fuzzy Syst 20(3):514–525

Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15(6):1179–1187

Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35(4):417–433

Yager R (1988) On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Trans Syst Man Cybern 18(1):183–190

Ye J (2015) Some weighted aggregation operators of trapezoidal neutrosophic numbers and their multiple attribute decision making method. http://www.gallup.unm.edu/*smarandache/SomeWeightedAggregationOperators.pdf

Ye J (2015) Trapezoidal fuzzy neutrosophic set and its application to multiple attribute decision making. Neural Comput Appl 26(5):1157–1166

Ye J (2013) Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment. Int J Gen Syst 42(4):386–394

Ye J (2014a) A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets. J Intell Fuzzy Syst 26:2459–2466

Ye J (2014b) Some aggregation operators of interval neutrosophic linguistic numbers for multiple attribute decision making. J Intell Fuzzy Syst 27:2231–2241

Ye J (2016a) Aggregation operators of neutrosophic linguistic numbers for multiple attribute group decision making. SpringerPlus 5:1–11

Ye J (2017) Some weighted aggregation operators of trapezoidal neutrosophic numbers and their multiple attribute decision making method. Informatica 28(2):387–402

Ye J (2014) Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making. J Int Fuzzy Syst 26:165–172

Yu DJ (2013) Intuitionistic fuzzy Choquet aggregation operator based on Einstein operation laws. Sci Iran E 20(6):2109–2122

Zadeh LA (1965) Fuzzy sets. Inform Control 8:338–353

Ziemba P (2018) NEAT F-PROMETHEE-A new fuzzy multiple criteria decision making method based on the adjustment of mapping trapezoidal fuzzy numbers. Expert Syst Appl 110:363–380

Zhang HY, Wang JQ, Chen XH (2014) Interval neutrosophic sets and their application in multicriteria decision making problems. The Scientific World Journal 2014: Article ID 645953, 15 pages

Zhang Z (2017) Interval-valued intuitionistic fuzzy Frank aggregation operators and their applications to multiple attribute group decision making. Neural Comput Appl 28(6):1471–1501

Zhao XF, Wei GW (2013) Some intuitionistic fuzzy einstein hybrid aggregation operators and their application to multiple attribute decision making. Knowl Based Syst 37:472–479

Zhou H, Wang JQ, Zhang HY (2018) Multi-criteria decisionmaking approaches based on distance measures for linguistic hesitant fuzzy sets. J Oper Res Soc 69(5):661–675