Multi-Criteria Decision-Making under mHF ELECTRE-I and HmF ELECTRE-I

In a few years, hesitant fuzzy sets (HFSs) have had an impact on several different areas of decision science. However, a number of researches have utilized the Elimination and choice translating reality (ELECTRE) methods to determine the multi-criteria decision-making (MCDM) problems with hesitant information. The aim of this research article is to develop new multi-criteria group decision-making (MCGDM) methods, such as the m-polar hesitant fuzzy ELECTRE-I (mHF ELECTRE-I) method and hesitant m-polar fuzzy ELECTRE-I (HmF ELECTRE-I) method. Proposed MCGDM techniques based on the hybrid models, m-polar hesitant fuzzy sets (mHFS-sets) and hesitant m-polar fuzzy sets (HmF-sets), which are the natural generalizations of HFSs and m-polar fuzzy sets (mF sets). These models enable us to deal with multipolar information under hesitancy. We use the proposed methods to deal the complex problems in which the membership degree of an element of given set uses the m different numeric and fuzzy values, to rank all the alternatives and to determine the best alternative. We present two practical examples that illustrate the procedure of the proposed methods. We also discuss the differences and comparative analysis of the proposed methods. Finally, we develop an algorithm that implements our decision-making procedures by using computer programming.

[1]  Zeshui Xu,et al.  ELECTRE II method to deal with probabilistic linguistic term sets and its application to edge computing , 2019, Nonlinear Dynamics.

[2]  Huchang Liao,et al.  An integrated method for cognitive complex multiple experts multiple criteria decision making based on ELECTRE III with weighted Borda rule , 2020 .

[3]  Xiaohong Chen,et al.  Hesitant Fuzzy Soft Set and Its Applications in Multicriteria Decision Making , 2014, J. Appl. Math..

[4]  Shenggang Li,et al.  m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets , 2014, TheScientificWorldJournal.

[5]  Muhammad Akram,et al.  Novel hybrid decision-making methods based on mF rough information , 2018, Granular Computing.

[6]  Adel Hatami-Marbini,et al.  A fuzzy group Electre method for safety and health assessment in hazardous waste recycling facilities , 2013 .

[7]  Zeshui Xu,et al.  Deriving a Ranking From Hesitant Fuzzy Preference Relations Under Group Decision Making , 2014, IEEE Transactions on Cybernetics.

[8]  Zeshui Xu,et al.  The ELECTRE I Multi-Criteria Decision-Making Method Based on Hesitant Fuzzy Sets , 2015, Int. J. Inf. Technol. Decis. Mak..

[9]  Zhiming Zhang,et al.  Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making , 2013, Inf. Sci..

[10]  Mohammad Kazem Ebrahimpour,et al.  Ensemble of feature selection methods: A hesitant fuzzy sets approach , 2017, Appl. Soft Comput..

[11]  Prasenjit Mandal,et al.  Hesitant bipolar-valued fuzzy sets and bipolar-valued hesitant fuzzy sets and their applications in multi-attribute group decision making , 2018, Granular Computing.

[12]  Zeshui Xu,et al.  Two new approaches based on ELECTRE II to solve the multiple criteria decision making problems with hesitant fuzzy linguistic term sets , 2018, Appl. Soft Comput..

[13]  B. Farhadinia,et al.  Hesitant fuzzy set lexicographical ordering and its application to multi-attribute decision making , 2016, Inf. Sci..

[14]  Bernard Roy,et al.  Classement et choix en présence de points de vue multiples , 1968 .

[15]  Muhammad Akram,et al.  Group decision‐making based on pythagorean fuzzy TOPSIS method , 2019, Int. J. Intell. Syst..

[16]  Mehmet Sevkli,et al.  An application of the fuzzy ELECTRE method for supplier selection , 2010 .

[17]  Toni Lupo,et al.  Fuzzy ServPerf model combined with ELECTRE III to comparatively evaluate service quality of international airports in Sicily , 2015 .

[18]  Zeshui Xu,et al.  Hesitant fuzzy information aggregation in decision making , 2011, Int. J. Approx. Reason..

[19]  Cengiz Kahraman,et al.  An integrated fuzzy AHP-ELECTRE methodology for environmental impact assessment , 2011, Expert Syst. Appl..

[20]  José Carlos Rodriguez Alcantud,et al.  Necessary and possible hesitant fuzzy sets: A novel model for group decision making , 2019, Inf. Fusion.

[21]  Ting-Yu Chen,et al.  The ELECTRE multicriteria analysis approach based on Atanassov's intuitionistic fuzzy sets , 2011, Expert Syst. Appl..

[22]  Muhammad Akram,et al.  Novel m - Polar Fuzzy Linguistic ELECTRE-I Method for Group Decision-Making , 2019, Symmetry.

[23]  Behnam Vahdani,et al.  Extension of the ELECTRE method based on interval-valued fuzzy sets , 2011, Soft Comput..

[24]  Babak Daneshvar Rouyendegh,et al.  An Application of the Fuzzy ELECTRE Method for Academic Staff Selection , 2013 .

[25]  Muhammad Akram,et al.  Decision-Making with Bipolar Neutrosophic TOPSIS and Bipolar Neutrosophic ELECTRE-I , 2018, Axioms.

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

[27]  Muhammad Akram,et al.  TOPSIS Approach for MAGDM Based on Interval-Valued Hesitant Fuzzy N-Soft Environment , 2018, International Journal of Fuzzy Systems.

[28]  A. Hatami-Marbini,et al.  An Extension of the Electre I Method for Group Decision-Making Under a Fuzzy Environment , 2011 .

[29]  Zeshui Xu,et al.  Operations and integrations of probabilistic hesitant fuzzy information in decision making , 2017, Inf. Fusion.

[30]  S. M. Mousavi,et al.  A new design of the elimination and choice translating reality method for multi-criteria group decision-making in an intuitionistic fuzzy environment , 2013 .

[31]  Na Chen,et al.  Some Hesitant Fuzzy Aggregation Operators with Their Application in Group Decision Making , 2011, Group Decision and Negotiation.

[32]  Muhammad Akram,et al.  A New Multi-Attribute Decision-Making Method Based on m-Polar Fuzzy Soft Rough Sets , 2017, Symmetry.

[33]  Dong-Ling Xu,et al.  An introduction and survey of the evidential reasoning approach for multiple criteria decision analysis , 2012, Ann. Oper. Res..

[34]  Muhammad Akram,et al.  Novel Approach in Decision Making with m–Polar Fuzzy ELECTRE-I , 2019, Int. J. Fuzzy Syst..

[35]  Zeshui Xu,et al.  Hesitant fuzzy ELECTRE II approach: A new way to handle multi-criteria decision making problems , 2015, Inf. Sci..

[36]  Muhammad Akram,et al.  Multi-Criteria Decision-Making Methods in Bipolar Fuzzy Environment , 2018, International Journal of Fuzzy Systems.

[37]  Zheng Zhou,et al.  Grey relational analysis between hesitant fuzzy sets with applications to pattern recognition , 2018, Expert Syst. Appl..

[38]  Na Chen,et al.  Correlation coefficients of hesitant fuzzy sets and their applications to clustering analysis , 2013 .

[39]  K. Devi,et al.  A multicriteria intuitionistic fuzzy group decision making for plant location selection with ELECTRE method , 2012, The International Journal of Advanced Manufacturing Technology.

[40]  Hai Wang,et al.  Generalized hesitant fuzzy sets and their application in decision support system , 2013, Knowl. Based Syst..

[41]  Vicenç Torra,et al.  Decomposition theorems and extension principles for hesitant fuzzy sets , 2018, Inf. Fusion.

[42]  Francisco Herrera,et al.  A position and perspective analysis of hesitant fuzzy sets on information fusion in decision making. Towards high quality progress , 2016, Inf. Fusion.

[43]  Zheng Pei,et al.  A note on operations of hesitant fuzzy sets , 2015, Int. J. Comput. Intell. Syst..

[44]  Muhammad Akram,et al.  Decision-making methods based on hybrid mF models , 2018, J. Intell. Fuzzy Syst..

[45]  Zeshui Xu,et al.  Interval-valued hesitant preference relations and their applications to group decision making , 2013, Knowl. Based Syst..