Novel m - Polar Fuzzy Linguistic ELECTRE-I Method for Group Decision-Making

Linguistic variables play a vital role in several qualitative decision environments, in which decision-makers assume several feasible linguistic values or criteria instead of a single term for an alternative or variable. The motivation for the use of words or sentences instead of numbers is that linguistic classification and characterizations are generally less precise than numerical ones. In this research article, we encourage the fuzzy linguistic approach and introduce the novel concept known as m-polar fuzzy linguistic variable (mFLV) to increase the affluence of linguistic variables based on m-polar fuzzy (mF) approach. An mF set is an effective concept for interpreting uncertainty and fuzziness. The concept of mFLV is more versatile and sensible for dealing with real-life problems, when data comes from qualitative and multipolar information. We also introduce an mF linguistic ELECTRE-I approach to solve multiple-criteria decision-making (MCDM) and multiple-criteria group decision-making (MCGDM) problems, where the evaluation of the alternatives under suitable linguistic values are determined by the decision-makers. Furthermore, we validate the efficiency of our proposed technique by applying it to real-life examples, such as the salary analysis of companies and by selecting a corrupt country. Finally, we develop an algorithm of our proposed approach, present its flow chart, and generate computer programming code.

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

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

[3]  Xiaohong Zhang,et al.  Single-Valued Neutrosophic Hesitant Fuzzy Choquet Aggregation Operators for Multi-Attribute Decision Making , 2018, Symmetry.

[4]  Francisco Herrera,et al.  Linguistic decision analysis: steps for solving decision problems under linguistic information , 2000, Fuzzy Sets Syst..

[5]  Jiangjiang Wang,et al.  Using the fuzzy multi-criteria model to select the optimal cool storage system for air conditioning , 2008 .

[6]  Peide Liu,et al.  The Extended TOPSIS Based on Trapezoid Fuzzy Linguistic Variables , 2010, J. Convergence Inf. Technol..

[7]  Peide Liu,et al.  Some Muirhead mean operators for probabilistic linguistic term sets and their applications to multiple attribute decision-making , 2018, Appl. Soft Comput..

[8]  Kannan Govindan,et al.  ELECTRE: A comprehensive literature review on methodologies and applications , 2016, Eur. J. Oper. Res..

[9]  Zeshui Xu,et al.  Distance and similarity measures for hesitant fuzzy linguistic term sets and their application in multi-criteria decision making , 2014, Inf. Sci..

[10]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[11]  Jerry M. Mendel,et al.  What Computing with Words Means to Me [Discussion Forum] , 2010, IEEE Computational Intelligence Magazine.

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

[13]  Muhammad Akram,et al.  Group decision-making methods based on hesitant N-soft sets , 2019, Expert Syst. Appl..

[14]  Reay-Chen Wang,et al.  Group decision-making using a fuzzy linguistic approach for evaluating the flexibility in a manufacturing system , 2004, Eur. J. Oper. Res..

[15]  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 .

[16]  Francisco Herrera,et al.  A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets , 2013, Inf. Sci..

[17]  A. Zandi,et al.  Extension of Fuzzy ELECTRE based on VIKOR method , 2013, Comput. Ind. Eng..

[18]  Mehdi Shahrestani,et al.  A fuzzy multiple attribute decision making tool for HVAC&R systems selection with considering the future probabilistic climate changes and electricity decarbonisation plans in the UK , 2018 .

[19]  Vicenç Torra,et al.  On hesitant fuzzy sets and decision , 2009, 2009 IEEE International Conference on Fuzzy Systems.

[20]  Babak Daneshvar Rouyendegh,et al.  Selecting the Best Project Using the Fuzzy ELECTRE Method , 2012 .

[21]  Jurgita Antucheviciene,et al.  Solving Civil Engineering Problems by Means of Fuzzy and Stochastic MCDM Methods: Current State and Future Research , 2015 .

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

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

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

[25]  Enrique Herrera-Viedma,et al.  Some interesting properties of the fuzzy linguistic model based on discrete fuzzy numbers to manage hesitant fuzzy linguistic information , 2015, Appl. Soft Comput..

[26]  Shyi-Ming Chen,et al.  Fuzzy multiple attributes group decision-making based on the ranking values and the arithmetic operations of interval type-2 fuzzy sets , 2010, Expert Syst. Appl..

[27]  H. Carter Fuzzy Sets and Systems — Theory and Applications , 1982 .

[28]  Zheng Pei,et al.  A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making , 2017, Symmetry.

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

[30]  Muhammad Akram,et al.  m - Polar Fuzzy Graphs - Theory, Methods & Applications , 2018, Studies in Fuzziness and Soft Computing.

[31]  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.

[32]  Abdul Razak Salleh,et al.  Intuitionistic fuzzy linguistic variables and intuitionistic fuzzy hedges , 2014 .

[33]  Qiang Zhang,et al.  Multi-attribute decision analysis under a linguistic hesitant fuzzy environment , 2014, Inf. Sci..

[34]  Francisco Herrera,et al.  A fusion approach for managing multi-granularity linguistic term sets in decision making , 2000, Fuzzy Sets Syst..

[35]  Maryam Ramezani,et al.  Design a new mixed expert decision aiding system using fuzzy ELECTRE III method for vendor selection , 2009, Expert Syst. Appl..

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

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

[38]  Francisco Herrera,et al.  Computing with words in decision making: foundations, trends and prospects , 2009, Fuzzy Optim. Decis. Mak..

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

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

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

[42]  Gülçin Büyüközkan,et al.  A fuzzy optimization model for QFD planning process using analytic network approach , 2006, Eur. J. Oper. Res..

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

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

[45]  Francisco Herrera,et al.  Hesitant Fuzzy Linguistic Term Sets for Decision Making , 2012, IEEE Transactions on Fuzzy Systems.

[46]  Jiangjiang Wang,et al.  Weighting methodologies in multi‐criteria evaluations of combined heat and power systems , 2009 .

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

[48]  Ali Asghar Amidian,et al.  A Fuzzy ELECTRE Approach for Evaluating Mobile Payment Business Models , 2010, 2010 International Conference on Management of e-Commerce and e-Government.

[49]  Muhammad Akram m–Polar Fuzzy Sets and m–Polar Fuzzy Graphs , 2019 .

[50]  Amir Saman Kheirkhah,et al.  THE GROUP FUZZY ELECTRE METHOD TO EVALUATE THE QUALITY OF PUBLIC TRANSPORTATION SERVICE , 2013 .

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

[52]  Keyun Qin,et al.  New Similarity and Entropy Measures of Interval Neutrosophic Sets with Applications in Multi-Attribute Decision-Making , 2019, Symmetry.

[53]  Wen-Ran Zhang,et al.  Bipolar fuzzy sets and relations: a computational framework for cognitive modeling and multiagent decision analysis , 1994, NAFIPS/IFIS/NASA '94. Proceedings of the First International Joint Conference of The North American Fuzzy Information Processing Society Biannual Conference. The Industrial Fuzzy Control and Intellige.

[54]  Esra Aytaç,et al.  Fuzzy ELECTRE I Method for Evaluating Catering Firm Alternatives Yemek Firmasi Alternatiflerini Değerlendirmede Bulanik ELECTRE I Yöntemi , 2011 .

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