An Extension of EDAS Method Equipped with Trapezoidal Bipolar Fuzzy Information: An Application from Healthcare System

The paper introduces a novel evaluation based on distance from average solution equipped with trapezoidal bipolar fuzzy sets (TrBF-EDAS) to handle Multi-Criteria Group Decision- Making problems which include linguistic vagueness regarding the decision-makers’ double-sided judgmental thinking. The applicability of the TrBF-EDAS is demonstrated through an illustrative application with a real background concerning the selection of a medical device that can perform image-based assays dealing with dead and live cell count, cell viability. In this context, this selection process of the most desirable device to be used in cell culture studies in the department of medical biology in a faculty of medicine in Turkey is performed employing the TrBF-EDAS concerning the opinions of five decision-makers who are experts in their fields. In the study, computational analyses are performed to validate the TrBF-EDAS method. To this end, 24 cases are generated by determining randomly different weights of criteria. For all cases, the preference rankings determined by the TrBF-EDAS are compared with the outputs obtained by the TrBF-TOPSIS and TrBF-VIKOR, known in the literature, statistically. Finally, based on the computational results, it is worth noting that TrBF-EDAS is an efficient and useful tool to evaluate the alternatives in any system in which there is fuzzy bipolar information.

[1]  Basar Oztaysi,et al.  Determination of Material Handling Equipment for Lean In-Plant Logistics Using Fuzzy Analytical Network Process Considering Risk Attitudes of the Experts , 2017 .

[2]  Dongsheng Xu,et al.  An Extended EDAS Method with a Single-Valued Complex Neutrosophic Set and Its Application in Green Supplier Selection , 2020 .

[3]  Muhammad Riaz,et al.  A novel extension of TOPSIS to MCGDM with bipolar neutrosophic soft topology , 2019, J. Intell. Fuzzy Syst..

[4]  Qi Liu,et al.  EDAS Method for Extended Hesitant Fuzzy Linguistic Multi-criteria Decision Making , 2018, Int. J. Fuzzy Syst..

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

[6]  Jian-Ping Fan,et al.  Extended EDAS Methods for Multi-Criteria Group Decision-Making Based on IV-CFSWAA and IV-CFSWGA Operators With Interval-Valued Complex Fuzzy Soft Information , 2019, IEEE Access.

[7]  Mihrimah Özmen,et al.  Robust multi-criteria decision making methodology for real life logistics center location problem , 2019, Artificial Intelligence Review.

[8]  Gökhan Özçelik,et al.  Interval-Valued Atanassov Intuitionistic Fuzzy CODAS Method for Multi Criteria Group Decision Making Problems , 2018, Group Decision and Negotiation.

[9]  Cengiz Kahraman,et al.  A novel interval-valued neutrosophic EDAS method: prioritization of the United Nations national sustainable development goals , 2018, Soft Comput..

[10]  C. Spearman The proof and measurement of association between two things. By C. Spearman, 1904. , 1987, The American journal of psychology.

[11]  Edmundas Kazimieras Zavadskas,et al.  Selection of carpenter manufacturer using fuzzy EDAS method , 2018, Engineering Economics.

[12]  Jurgita Antucheviciene,et al.  Stochastic EDAS method for multi-criteria decision-making with normally distributed data , 2017, J. Intell. Fuzzy Syst..

[13]  Muhammad Akram,et al.  Multi-Criteria Group Decision-Making for Selection of Green Suppliers under Bipolar Fuzzy PROMETHEE Process , 2020, Symmetry.

[14]  Shu-Ping Wan,et al.  Extended VIKOR method for multiple criteria decision-making with linguistic hesitant fuzzy information , 2017, Comput. Ind. Eng..

[15]  Nilsen Kundakci,et al.  An integrated method using MACBETH and EDAS methods for evaluating steam boiler alternatives , 2018, Journal of Multi-Criteria Decision Analysis.

[16]  Ilya Ivlev,et al.  Multi-criteria decision analysis for supporting the selection of medical devices under uncertainty , 2015, Eur. J. Oper. Res..

[17]  Gülçin Büyüközkan,et al.  Smart Medical Device Selection Based on Interval Valued Intuitionistic Fuzzy VIKOR , 2017, EUSFLAT/IWIFSGN.

[18]  Cengiz Kahraman,et al.  Interval-valued Pythagorean Fuzzy EDAS method: An Application to Car Selection Problem , 2020, J. Intell. Fuzzy Syst..

[19]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[20]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[21]  Yu-Jie Wang,et al.  Interval-valued fuzzy multi-criteria decision-making based on simple additive weighting and relative preference relation , 2019, Inf. Sci..

[22]  Satish Kumar,et al.  Fuzzy Entropy Measure with an Applications in Decision Making Under Bipolar Fuzzy Environment based on TOPSIS Method , 2020 .

[23]  S. H. Huang,et al.  A fuzzy approach to process plan selection , 1994 .

[24]  Cengiz Kahraman,et al.  A novel hesitant fuzzy EDAS method and its application to hospital selection , 2018, J. Intell. Fuzzy Syst..

[25]  Hui Gao,et al.  Dual Hesitant Bipolar Fuzzy Hamacher Prioritized Aggregation Operators in Multiple Attribute Decision Making , 2018, IEEE Access.

[26]  Muhammad Riaz,et al.  Cubic bipolar fuzzy set with application to multi-criteria group decision making using geometric aggregation operators , 2020, Soft Computing.

[27]  C. Hwang,et al.  Fuzzy Multiple Attribute Decision Making Methods , 1992 .

[28]  Zeshui Xu,et al.  An extended intuitionistic fuzzy TOPSIS method based on a new distance measure with an application to credit risk evaluation , 2018, Inf. Sci..

[29]  Edmundas Kazimieras Zavadskas,et al.  Assessment of third-party logistics provider using multi-criteria decision-making approach based on interval rough numbers , 2019, Comput. Ind. Eng..

[30]  Jian-qiang Wang,et al.  A Linguistic Neutrosophic Multi-criteria Group Decision-Making Approach with EDAS Method , 2018, Arabian Journal for Science and Engineering.

[31]  Jurgita Antucheviciene,et al.  A new multi-criteria model based on interval type-2 fuzzy sets and EDAS method for supplier evaluation and order allocation with environmental considerations , 2017, Comput. Ind. Eng..

[32]  Wen-Ran Zhang,et al.  (Yin) (Yang) bipolar fuzzy sets , 1998, 1998 IEEE International Conference on Fuzzy Systems Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98CH36228).

[33]  Cuiping Wei,et al.  An Extended EDAS Method for Multicriteria Decision-Making Based on Multivalued Neutrosophic Sets , 2020, Complex..

[34]  C. Spearman The proof and measurement of association between two things. , 2015, International journal of epidemiology.

[35]  Madhumangal Pal,et al.  Bipolar fuzzy Dombi aggregation operators and its application in multiple-attribute decision-making process , 2018, J. Ambient Intell. Humaniz. Comput..

[36]  Muhammad Akram,et al.  Multiple-Attribute Decision Making ELECTRE II Method under Bipolar Fuzzy Model , 2019, Algorithms.

[37]  Sireesha Veeramachaneni,et al.  An ELECTRE Approach for Multicriteria Interval-Valued Intuitionistic Trapezoidal Fuzzy Group Decision Making Problems , 2016, Adv. Fuzzy Syst..

[38]  Muhammad Akram,et al.  A Novel Trapezoidal Bipolar Fuzzy TOPSIS Method for Group Decision-Making , 2018, Group Decision and Negotiation.

[39]  Peter Kneppo,et al.  Multicriteria decision analysis: a multifaceted approach to medical equipment management , 2014 .

[40]  Lazim Abdullah,et al.  A Border Approximation Area Approach Considering Bipolar Neutrosophic Linguistic Variable for Sustainable Energy Selection , 2020, Sustainability.

[41]  Edmundas Kazimieras Zavadskas,et al.  Multi-Criteria Inventory Classification Using a New Method of Evaluation Based on Distance from Average Solution (EDAS) , 2015, Informatica.

[42]  Muhammad Akram,et al.  Bipolar fuzzy TOPSIS and bipolar fuzzy ELECTRE-I methods to diagnosis , 2019, Computational and Applied Mathematics.

[43]  Alvaro José Abackerli,et al.  Techniques to model uncertain input data of multi-criteria decision-making problems: a literature review , 2018, Int. Trans. Oper. Res..

[44]  A. Cagri Tolga,et al.  EVALUATION OF MEDICAL DEVICES USING FUZZY TOPSIS WITH TYPE-2 FUZZY NUMBERS , 2014 .

[45]  Zeshui Xu,et al.  Hesitant fuzzy linguistic projection model to multi-criteria decision making for hospital decision support systems , 2018, Comput. Ind. Eng..

[46]  Lanndon A. Ocampo,et al.  An integrated grey-based multi-criteria decision-making approach for supplier evaluation and selection in the oil and gas industry , 2019, Kybernetes.

[47]  Hui Gao,et al.  Multiple Attribute Decision Making With Interval-Valued Bipolar Fuzzy Information and Their Application to Emerging Technology Commercialization Evaluation , 2018, IEEE Access.

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

[49]  Morteza Yazdani,et al.  Intuitionistic fuzzy edas method: an application to solid waste disposal site selection , 2017 .

[50]  Florentin Smarandache,et al.  A Group Decision Making Framework Based on Neutrosophic TOPSIS Approach for Smart Medical Device Selection , 2019, Journal of Medical Systems.

[51]  Berna Uzun,et al.  Evaluating nuclear medicine imaging devices using fuzzy PROMETHEE method , 2017 .

[52]  José Carlos Rodriguez Alcantud,et al.  Group Decision-Making Based on the VIKOR Method with Trapezoidal Bipolar Fuzzy Information , 2019, Symmetry.

[53]  Lei Yan,et al.  Walking Gait Phase Detection Based on Acceleration Signals Using Voting-Weighted Integrated Neural Network , 2020, Complex..

[54]  James P. Keller Comparative evaluations of medical devices , 2004 .

[55]  Oscar Castillo,et al.  Finite-interval-valued Type-2 Gaussian fuzzy numbers applied to fuzzy TODIM in a healthcare problem , 2020, Eng. Appl. Artif. Intell..

[56]  Dragisa Stanujkic,et al.  A Bipolar Fuzzy Extension of the MULTIMOORA Method , 2019 .

[57]  Fuad E. Alsaadi,et al.  Bipolar Fuzzy Hamacher Aggregation Operators in Multiple Attribute Decision Making , 2017, International Journal of Fuzzy Systems.

[58]  María Carmen Carnero Fuzzy Multicriteria Model for Selection of Vibration Technology , 2016 .

[59]  Hacer Güner Gören,et al.  A new multi criteria decision making approach for medical imaging systems considering risk factors , 2015, Appl. Soft Comput..

[60]  Shyi-Ming Chen,et al.  Multicriteria decision making based on the TOPSIS method and similarity measures between intuitionistic fuzzy values , 2016, Inf. Sci..

[61]  Gülçin Büyüközkan,et al.  Smart medical device selection based on intuitionistic fuzzy Choquet integral , 2018, Soft Computing.