Multiple Attribute Group Decision Making Based on Simplified Neutrosophic Integrated Weighted Distance Measure and Entropy Method

Simplified neutrosophic set (SNS) is a popular tool in modelling potential, imprecise, and uncertain information within complex environments. In this paper, a method based on the integrated weighted distance measure and entropy weight is proposed for handling SNS multiple attribute group decision-making (MAGDM) problems. To this end, the simplified neutrosophic (SN) integrated weighted distance (SVNIWD) measure is first developed for overcoming the limitations of the existing methods. Afterward, the proposed SNIWD’s several properties and particular status are studied. Moreover, a flexible and useful MAGDM approach that combines the strengths of the SNIWD and the SNS is proposed, wherein the SN entropy measure is applied to calculate the unknown weight information regarding attributes. Finally, a numerical case of investment evaluation and subsequent comparative analysis are conducted to prove the superiority of the proposed framework.

[1]  Harish Garg,et al.  Decision Support Algorithm for Selecting an Antivirus Mask over COVID-19 Pandemic under Spherical Normal Fuzzy Environment , 2020, International journal of environmental research and public health.

[2]  Peide Liu,et al.  Possibility-induced simplified neutrosophic aggregation operators and their application to multi-criteria group decision-making , 2017, J. Exp. Theor. Artif. Intell..

[3]  Robert LIN,et al.  NOTE ON FUZZY SETS , 2014 .

[4]  Gökçe Dilek Küçük,et al.  Group decision making with simplified neutrosophic ordered weighted distance operator , 2018 .

[5]  José M. Merigó,et al.  New decision-making techniques and their application in the selection of financial products , 2010, Inf. Sci..

[6]  Hong-yu Zhang,et al.  Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems , 2016, Int. J. Syst. Sci..

[7]  Saleem Abdullah,et al.  Cubic Ordered Weighted Distance Operator and Application in Group Decision-Making , 2020, J. Intell. Syst..

[8]  José M. Merigó,et al.  Distance measures, weighted averages, OWA operators and Bonferroni means , 2017, Appl. Soft Comput..

[9]  Sidong Xian,et al.  A Novel Intuitionistic Fuzzy Induced Ordered Weighted Euclidean Distance Operator and Its Application for Group Decision Making , 2017, Int. J. Intell. Syst..

[10]  Jun Ye,et al.  A netting method for clustering-simplified neutrosophic information , 2017, Soft Comput..

[11]  J. Merigó,et al.  INDUCED AND LOGARITHMIC DISTANCES WITH MULTI-REGION AGGREGATION OPERATORS , 2019, Technological and Economic Development of Economy.

[12]  Jun Ye,et al.  Generalized Ordered Weighted Simplified Neutrosophic Cosine Similarity Measure for Multiple Attribute Group Decision Making , 2020, Int. J. Cogn. Informatics Nat. Intell..

[13]  Sidong Xian,et al.  Trapezoidal Pythagorean fuzzy linguistic entropic combined ordered weighted Minkowski distance operator based on preference relations , 2019, Int. J. Intell. Syst..

[14]  Xingsen Li,et al.  A Correlation-Based TOPSIS Method for Multiple Attribute Decision Making with Single-Valued Neutrosophic Information , 2020, Int. J. Inf. Technol. Decis. Mak..

[15]  Rajshekhar Sunderraman,et al.  Single Valued Neutrosophic Sets , 2010 .

[16]  Harish Garg,et al.  New logarithmic operational laws and their aggregation operators for Pythagorean fuzzy set and their applications , 2018, Int. J. Intell. Syst..

[17]  Jun Ye Single valued neutrosophic cross-entropy for multicriteria decision making problems , 2014 .

[18]  José M. Merigó,et al.  Logarithmic aggregation operators and distance measures , 2018, Int. J. Intell. Syst..

[19]  José M. Merigó,et al.  A new distance measure based on the weighted induced method and its application to Pythagorean fuzzy multiple attribute group decision making , 2019, Int. J. Intell. Syst..

[20]  Harish Garg,et al.  Investigation of multiple heterogeneous relationships using a q-rung orthopair fuzzy multi-criteria decision algorithm , 2020, Neural Computing and Applications.

[21]  Zeshui Xu,et al.  Method for three-way decisions using ideal TOPSIS solutions at Pythagorean fuzzy information , 2018, Inf. Sci..

[22]  Gui-Wu Wei,et al.  Pythagorean fuzzy power aggregation operators in multiple attribute decision making , 2018, Int. J. Intell. Syst..

[23]  Chunfang Liu,et al.  Power aggregation operators of simplified neutrosophic sets and their use in multi-attribute group decision making , 2017, IEEE/CAA Journal of Automatica Sinica.

[24]  D. Štreimikienė,et al.  Prospects of green growth in the electricity sector in Baltic States: Pinch analysis based on ecological footprint , 2019, Resources, Conservation and Recycling.

[25]  Zeshui Xu,et al.  Extension of TOPSIS to Multiple Criteria Decision Making with Pythagorean Fuzzy Sets , 2014, Int. J. Intell. Syst..

[26]  Jun Ye,et al.  Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment , 2013, Int. J. Gen. Syst..

[27]  Huayou Chen,et al.  Continuous Ordered Weighted Distance Measure and Its Application to Multiple Attribute Group Decision Making , 2013 .

[28]  Weihua Su,et al.  Intuitionistic fuzzy ordered weighted distance operator , 2011, Knowl. Based Syst..

[29]  Xindong Peng,et al.  Pythagorean fuzzy set: state of the art and future directions , 2017, Artificial Intelligence Review.

[30]  Shouzhen Zeng,et al.  Prioritization of low-carbon suppliers based on Pythagorean fuzzy group decision making with self-confidence level , 2019, Economic Research-Ekonomska Istraživanja.

[31]  Zeshui Xu,et al.  Distance and similarity measures for hesitant fuzzy sets , 2011, Inf. Sci..

[32]  Jun Ye,et al.  An extended TOPSIS method for multiple attribute group decision making based on single valued neutrosophic linguistic numbers , 2015, J. Intell. Fuzzy Syst..

[33]  Shouzhen Zeng,et al.  A Single-Valued Neutrosophic Linguistic Combined Weighted Distance Measure and Its Application in Multiple-Attribute Group Decision-Making , 2019, Symmetry.

[34]  Ronald R. Yager,et al.  Pythagorean Membership Grades in Multicriteria Decision Making , 2014, IEEE Transactions on Fuzzy Systems.

[35]  Zeshui Xu,et al.  Bibliometric analysis of fuzzy theory research in China: A 30-year perspective , 2018, Knowl. Based Syst..

[36]  Chao Chen,et al.  Intuitionistic fuzzy MULTIMOORA approach for multi-criteria assessment of the energy storage technologies , 2019, Appl. Soft Comput..

[37]  Shouzhen Zeng Some Intuitionistic Fuzzy Weighted Distance Measures and Their Application to Group Decision Making , 2013 .

[38]  B. Giri,et al.  Entropy Based Grey Relational Analysis Method for Multi- Attribute Decision Making under Single Valued Neutrosophic Assessments , 2014 .

[39]  Xiangling Fu,et al.  A decision‐making algorithm for online shopping using deep‐learning–based opinion pairs mining and q‐rung orthopair fuzzy interaction Heronian mean operators , 2020, Int. J. Intell. Syst..

[40]  Jianping Chen,et al.  A Hybrid Method for Pythagorean Fuzzy Multiple-Criteria Decision Making , 2016, Int. J. Inf. Technol. Decis. Mak..

[41]  Shouzhen Zeng,et al.  A method based on TOPSIS and distance measures for hesitant fuzzy multiple attribute decision making , 2018 .

[42]  Hong-yu Zhang,et al.  outranking approach for multi-criteria decision-making problems ith simplified neutrosophic sets uan - , 2014 .

[43]  Z. S. Xu,et al.  An Overview of Distance and Similarity Measures of Intuitionistic Fuzzy Sets , 2008, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[44]  Jun Ye,et al.  A multicriteria decision-making method using aggregation operators for simplified neutrosophic sets , 2014, J. Intell. Fuzzy Syst..

[45]  Zeshui Xu,et al.  Intuitionistic fuzzy two-sided matching model and its application to personnel-position matching problems , 2020, J. Oper. Res. Soc..

[46]  Shouzhen Zeng,et al.  A novel aggregation method for Pythagorean fuzzy multiple attribute group decision making , 2018, Int. J. Intell. Syst..

[47]  Xindong Peng,et al.  A bibliometric analysis of neutrosophic set: two decades review from 1998 to 2017 , 2018, Artificial Intelligence Review.

[48]  Gökçe Dilek Küçük,et al.  A NOVEL HYBRID APPROACH FOR SIMPLIFIED NEUTROSOPHIC DECISION-MAKING WITH COMPLETELY UNKNOWN WEIGHT INFORMATION , 2018 .

[49]  Huayou Chen,et al.  Linguistic continuous ordered weighted distance measure and its application to multiple attributes group decision making , 2014, Appl. Soft Comput..

[50]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[51]  Zaoli Yang,et al.  Interval-Valued Pythagorean Normal Fuzzy Information Aggregation Operators for Multi-Attribute Decision Making , 2020, IEEE Access.

[52]  Ting-Yu Chen,et al.  Remoteness index-based Pythagorean fuzzy VIKOR methods with a generalized distance measure for multiple criteria decision analysis , 2018, Inf. Fusion.

[53]  José M. Merigó,et al.  Decision-making with distance measures and induced aggregation operators , 2011, Comput. Ind. Eng..

[54]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .