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Erschienen in: Soft Computing 14/2020

27.11.2019 | Methodologies and Application

Novel neutrality aggregation operator-based multiattribute group decision-making method for single-valued neutrosophic numbers

verfasst von: Harish Garg

Erschienen in: Soft Computing | Ausgabe 14/2020

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Abstract

The paper aims to give some new kinds of operational laws named as neutrality addition and scalar multiplication for the pairs of single-valued neutrosophic numbers. The main idea behind these operations is to include the neutral characters of the decision-maker towards the preferences of the objects when it shows the equal degrees to membership functions. Some salient features of them are investigated also. Further based on these laws, some new aggregation operators are developed to aggregate the different preferences of the decision-makers. Desirable relations and properties are investigated in detail. Finally, a multiattribute group decision-making approach based on the proposed operators is presented and investigated with numerous numerical examples. The superiors, as well as the advantages of the operators, are also discussed in it.

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Literatur
Zurück zum Zitat Arqub OA (2017) Adaptation of reproducing kernel algorithm for solving fuzzy fredholm-volterra integrodifferential equations. Neural Comput Appl 28(7):1591–1610CrossRef Arqub OA (2017) Adaptation of reproducing kernel algorithm for solving fuzzy fredholm-volterra integrodifferential equations. Neural Comput Appl 28(7):1591–1610CrossRef
Zurück zum Zitat Arqub OA, Abo-Hammour Z (2014) Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm. Inf Sci 279:396–415MathSciNetCrossRef Arqub OA, Abo-Hammour Z (2014) Numerical solution of systems of second-order boundary value problems using continuous genetic algorithm. Inf Sci 279:396–415MathSciNetCrossRef
Zurück zum Zitat Arqub OA, Mohammed AS, Momani S, Hayat T (2016) Numerical solutions of fuzzy differential equations using reproducing kernel hilbert space method. Soft Comput 20(8):3283–3302CrossRef Arqub OA, Mohammed AS, Momani S, Hayat T (2016) Numerical solutions of fuzzy differential equations using reproducing kernel hilbert space method. Soft Comput 20(8):3283–3302CrossRef
Zurück zum Zitat Arqub OA, Al-Smadi M, Momani S, Hayat T (2017) Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems. Soft Comput 21(23):7191–7206CrossRef Arqub OA, Al-Smadi M, Momani S, Hayat T (2017) Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems. Soft Comput 21(23):7191–7206CrossRef
Zurück zum Zitat Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96CrossRef Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20:87–96CrossRef
Zurück zum Zitat Chen SM, Cheng SH, Lan TC (2016) A novel similarity measure between intuitionistic fuzzy sets based on the centroid points of transformed fuzzy numbers with applications to pattern recognition. Inf Sci 343–344:15–40MathSciNetCrossRef Chen SM, Cheng SH, Lan TC (2016) A novel similarity measure between intuitionistic fuzzy sets based on the centroid points of transformed fuzzy numbers with applications to pattern recognition. Inf Sci 343–344:15–40MathSciNetCrossRef
Zurück zum Zitat Garg H (2016) Generalized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm and their application to decision making. Comput Ind Eng 101:53–69CrossRef Garg H (2016) Generalized intuitionistic fuzzy interactive geometric interaction operators using Einstein t-norm and t-conorm and their application to decision making. Comput Ind Eng 101:53–69CrossRef
Zurück zum Zitat Garg H (2019) Intuitionistic fuzzy hamacher aggregation operators with entropy weight and their applications to multi-criteria decision-making problems. Iran J Sci Technol Trans Electr Eng 43(3):597–613CrossRef Garg H (2019) Intuitionistic fuzzy hamacher aggregation operators with entropy weight and their applications to multi-criteria decision-making problems. Iran J Sci Technol Trans Electr Eng 43(3):597–613CrossRef
Zurück zum Zitat Garg H, Kumar K (2018) An advanced study on the similarity measures of intuitionistic fuzzy sets based on the set pair analysis theory and their application in decision making. Soft Comput 22(15):4959–4970CrossRef Garg H, Kumar K (2018) An advanced study on the similarity measures of intuitionistic fuzzy sets based on the set pair analysis theory and their application in decision making. Soft Comput 22(15):4959–4970CrossRef
Zurück zum Zitat Garg H, Nancy (2018b) New logarithmic operational laws and their applications to multiattribute decision making for single-valued neutrosophic numbers. Cogn Syst Res 52:931–946CrossRef Garg H, Nancy (2018b) New logarithmic operational laws and their applications to multiattribute decision making for single-valued neutrosophic numbers. Cogn Syst Res 52:931–946CrossRef
Zurück zum Zitat Garg H, Nancy (2018c) Non-linear programming method for multi-criteria decision making problems under interval neutrosophic set environment. Appl Intell 48(8):2199–2213CrossRef Garg H, Nancy (2018c) Non-linear programming method for multi-criteria decision making problems under interval neutrosophic set environment. Appl Intell 48(8):2199–2213CrossRef
Zurück zum Zitat Garg H, Nancy (2018d) Some hybrid weighted aggregation operators under neutrosophic set environment and their applications to multicriteria decision-making. Appl Intell 48(12):4871–4888CrossRef Garg H, Nancy (2018d) Some hybrid weighted aggregation operators under neutrosophic set environment and their applications to multicriteria decision-making. Appl Intell 48(12):4871–4888CrossRef
Zurück zum Zitat Huang JY (2014) Intuitionistic fuzzy Hamacher aggregation operator and their application to multiple attribute decision making. J Intell Fuzzy Syst 27:505–513MathSciNetCrossRef Huang JY (2014) Intuitionistic fuzzy Hamacher aggregation operator and their application to multiple attribute decision making. J Intell Fuzzy Syst 27:505–513MathSciNetCrossRef
Zurück zum Zitat Kaur G, Garg H (2019) Generalized cubic intuitionistic fuzzy aggregation operators using t-norm operations and their applications to group decision-making process. Arab J Sci Eng 44(3):2775–2794CrossRef Kaur G, Garg H (2019) Generalized cubic intuitionistic fuzzy aggregation operators using t-norm operations and their applications to group decision-making process. Arab J Sci Eng 44(3):2775–2794CrossRef
Zurück zum Zitat Kumar K, Garg H (2018) Connection number of set pair analysis based TOPSIS method on intuitionistic fuzzy sets and their application to decision making. Appl Intell 48(8):2112–2119CrossRef Kumar K, Garg H (2018) Connection number of set pair analysis based TOPSIS method on intuitionistic fuzzy sets and their application to decision making. Appl Intell 48(8):2112–2119CrossRef
Zurück zum Zitat Li Y, Liu P, Chen Y (2016) Some single valued neutrosophic number heronian mean operators and their application in multiple attribute group decision making. Informatica 27(1):85–110CrossRef Li Y, Liu P, Chen Y (2016) Some single valued neutrosophic number heronian mean operators and their application in multiple attribute group decision making. Informatica 27(1):85–110CrossRef
Zurück zum Zitat Liu P, Chu Y, Li Y, Chen Y (2014) Some generalized neutrosophic number hamacher aggregation operators and their application to group decision making. Int J Fuzzy Syst 16(2):242–255 Liu P, Chu Y, Li Y, Chen Y (2014) Some generalized neutrosophic number hamacher aggregation operators and their application to group decision making. Int J Fuzzy Syst 16(2):242–255
Zurück zum Zitat Liu P, Liu J, Chen SM (2018) Some intuitionistic fuzzy dombi bonferroni mean operators and their application to multi-attribute group decision making. J Oper Res Soc 69(1):1–24CrossRef Liu P, Liu J, Chen SM (2018) Some intuitionistic fuzzy dombi bonferroni mean operators and their application to multi-attribute group decision making. J Oper Res Soc 69(1):1–24CrossRef
Zurück zum Zitat Nancy, Garg H (2016a) An improved score function for ranking neutrosophic sets and its application to decision-making process. Int J Uncertain Quantif 6(5):377–385CrossRef Nancy, Garg H (2016a) An improved score function for ranking neutrosophic sets and its application to decision-making process. Int J Uncertain Quantif 6(5):377–385CrossRef
Zurück zum Zitat Nancy, Garg H (2016b) Novel single-valued neutrosophic decision making operators under Frank norm operations and its application. Int J Uncertain Quantif 6(4):361–375CrossRef Nancy, Garg H (2016b) Novel single-valued neutrosophic decision making operators under Frank norm operations and its application. Int J Uncertain Quantif 6(4):361–375CrossRef
Zurück zum Zitat Nancy, Garg H (2019) A novel divergence measure and its based TOPSIS method for multi criteria decision—making under single—valued neutrosophic environment. J Intell Fuzzy Syst 36(1):101–115CrossRef Nancy, Garg H (2019) A novel divergence measure and its based TOPSIS method for multi criteria decision—making under single—valued neutrosophic environment. J Intell Fuzzy Syst 36(1):101–115CrossRef
Zurück zum Zitat Peng JJ, Wang JQ, Wang J, Zhang HY, Chen ZH (2016) Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems. Int J Syst Sci 47(10):2342–2358CrossRef Peng JJ, Wang JQ, Wang J, Zhang HY, Chen ZH (2016) Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems. Int J Syst Sci 47(10):2342–2358CrossRef
Zurück zum Zitat Peng XD, Liu C (2017) Algorithms for neutrosophic soft decision making based on EDAS, new similarity measure and level soft set. J Intell Fuzzy Syst 32(1):955–968CrossRef Peng XD, Liu C (2017) Algorithms for neutrosophic soft decision making based on EDAS, new similarity measure and level soft set. J Intell Fuzzy Syst 32(1):955–968CrossRef
Zurück zum Zitat Rani D, Garg H (2019) Some modified results of the subtraction and division operations on interval neutrosophic sets. J Exp Theor Artif Intell 31(4):677–698CrossRef Rani D, Garg H (2019) Some modified results of the subtraction and division operations on interval neutrosophic sets. J Exp Theor Artif Intell 31(4):677–698CrossRef
Zurück zum Zitat Sahin R, Liu P (2016) Maximizing deviation method for neutrosophic multiple attribute decision making with incomplete weight information. Neural Comput Appl 27(7):2017–2029CrossRef Sahin R, Liu P (2016) Maximizing deviation method for neutrosophic multiple attribute decision making with incomplete weight information. Neural Comput Appl 27(7):2017–2029CrossRef
Zurück zum Zitat Smarandache F (1998) Neutrosophy. Neutrosophic probability, set, and logic. ProQuest Information & Learning. Ann Arbor, Michigan, USA Smarandache F (1998) Neutrosophy. Neutrosophic probability, set, and logic. ProQuest Information & Learning. Ann Arbor, Michigan, USA
Zurück zum Zitat Wang H, Smarandache F, Zhang YQ, Smarandache R (2005) Interval neutrosophic sets and logic: theory and applications in computing. Hexis, Phoenix, AZMATH Wang H, Smarandache F, Zhang YQ, Smarandache R (2005) Interval neutrosophic sets and logic: theory and applications in computing. Hexis, Phoenix, AZMATH
Zurück zum Zitat Wang H, Smarandache F, Zhang YQ, Sunderraman R (2010) Single valued neutrosophic sets. Multispace Multistruct 4:410–413MATH Wang H, Smarandache F, Zhang YQ, Sunderraman R (2010) Single valued neutrosophic sets. Multispace Multistruct 4:410–413MATH
Zurück zum Zitat Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15:1179–1187CrossRef Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15:1179–1187CrossRef
Zurück zum Zitat Yager RR (1988) On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans Syst Man Cybern 18(1):183–190CrossRef Yager RR (1988) On ordered weighted averaging aggregation operators in multi-criteria decision making. IEEE Trans Syst Man Cybern 18(1):183–190CrossRef
Zurück zum Zitat Yang L, Li B (2016) A multi-criteria decision-making method using power aggregation operators for single-valued neutrosophic sets. Int J Database Theory Appl 9(2):23–32CrossRef Yang L, Li B (2016) A multi-criteria decision-making method using power aggregation operators for single-valued neutrosophic sets. Int J Database Theory Appl 9(2):23–32CrossRef
Zurück zum Zitat Ye J (2014) A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets. J Intell Fuzzy Syst 26(5):2459–2466MathSciNetCrossRef Ye J (2014) A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets. J Intell Fuzzy Syst 26(5):2459–2466MathSciNetCrossRef
Metadaten
Titel
Novel neutrality aggregation operator-based multiattribute group decision-making method for single-valued neutrosophic numbers
verfasst von
Harish Garg
Publikationsdatum
27.11.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 14/2020
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-019-04535-w

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