Extended CPT-TODIM method for interval-valued intuitionistic fuzzy MAGDM and its application to urban ecological risk assessment

Journal of Intelligent & Fuzzy Systems - Tập 40 Số 3 - Trang 4091-4106 - 2021
Mengwei Zhao1, Guiwu Wei1, Cun Wei2, Jiang Wu2, Yu Wei3
1School of Business, Sichuan Normal University, Chengdu, P.R. China
2School of Statistics, Southwestern University of Finance and Economics, Chengdu, P.R. China
3School of Finance, Yunnan University of Finance and Economics, Kunming, China

Tóm tắt

The urban ecological risk assessment is a new research field, which has been rising and developing with the change of environment management objectives and environment conception. The urban ecological risk assessment could be regarded as a classical multi-attribute group decision making (MAGDM) issue. The interval-valued intuitionistic fuzzy set (IVIFS) can fully describe the uncertain information for the urban ecological risk assessment. Furthermore, the classical TODIM (an acronym in Portuguese for Interactive Multi-Criteria Decision Making) is built on cumulative prospect theory (CPT), which is a selectable method in reflecting the DMs’ psychological behavior. Thus, in this paper, the TODIM method based on the CPT is proposed for MAGDM issue under IVIFS. At the same time, it is enhancing rationality to get the weight information of attributes by using the interval-valued intuitionistic fuzzy entropy weight method. And focusing on hot issues in contemporary society, this article applies the discussed method to urban ecological risk assessment, and demonstrates urban ecological risk assessment model based on the proposed method. Finally, through comparing the outcome of comparative analysis, we conclude that this improved approach is acceptable.

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Tài liệu tham khảo

Bouchet, 2019, Intuitionistic fuzzy set and fuzzy mathematical morphology applied to color leukocytes segmentation, Signal Image Video Process, 2019, 8

He, 2019, Pythagorean 2-tuple linguistic Taxonomy method for supplier selection in medical instrument industries, International Journal of Environmental Research and Public Health, 16, 4875, 10.3390/ijerph16234875

Wei, 2019, Supplier selection of medical consumption products with a probabilistic linguistic MABAC method, International Journal of Environmental Research and Public Health, 16, 5082, 10.3390/ijerph16245082

Gao, 2020, VIKOR method for MAGDM based on q-rung interval-valued orthopair fuzzy information and its application to supplier selection of medical consumption products, International Journal of Environmental Research and Public Health, 17, 525, 10.3390/ijerph17020525

Baumann, 2019, A review of multi-criteria decision making approaches for evaluating energy storage systems for grid applications, Renew Sust Energ Rev, 107, 516, 10.1016/j.rser.2019.02.016

Li, 2020, EDAS method for multiple attribute group decision making under q-rung orthopair fuzzy environment, Technological and Economic Development of Economy, 26, 86, 10.3846/tede.2019.11333

Lu, 2020, Cumulative Prospect Theory: Performance Evaluation of Government Purchases of Home-Based Elderly-Care Services Using the Pythagorean 2-tuple Linguistic TODIM Method, International Journal of Environmental Research and Public Health, 17, 1939, 10.3390/ijerph17061939

Wang, 2019, Models for MADM with Single-Valued Neutrosophic 2-Tuple Linguistic Muirhead Mean Operators, Mathematics, 7, 442, 10.3390/math7050442

Wei, 2019, Dual Hesitant Pythagorean Fuzzy Hamy Mean Operators in Multiple Attribute Decision Making, Ieee Access, 7, 86697, 10.1109/ACCESS.2019.2924974

Deng, 2019, TODIM method for multiple attribute decision making with 2-tuple linguistic Pythagorean fuzzy information, Journal of Intelligent & Fuzzy Systems, 37, 1769, 10.3233/JIFS-179240

Gao, 2019, Dual hesitant bipolar fuzzy hamacher aggregation operators and their applications to multiple attribute decision making, Journal of Intelligent & Fuzzy Systems, 37, 5755, 10.3233/JIFS-18266

Li, 2019, Some novel similarity and distance and measures of Pythagorean fuzzy sets and their applications, Journal of Intelligent & Fuzzy Systems, 37, 1781, 10.3233/JIFS-179241

Lu, 2019, TODIM method for performance appraisal on social-integration-based rural reconstruction with interval-valued intuitionistic fuzzy information, J Intell Fuzzy Syst, 37, 1731, 10.3233/JIFS-179236

Atanassov, 1986, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87, 10.1016/S0165-0114(86)80034-3

Xu, 2006, Some geometric aggregation operators based on intuitionistic fuzzy sets, International Journal of General Systems, 35, 417, 10.1080/03081070600574353

Liu, 2017, Group Decision Making Based on Heronian Aggregation Operators of Intuitionistic Fuzzy Numbers, Ieee Transactions on Cybernetics, 47, 2514, 10.1109/TCYB.2016.2634599

Li, 2017, Minimum Weighted Minkowski Distance Power Models for Intuitionistic Fuzzy Madm with Incomplete Weight Information, International Journal of Information Technology & Decision Making, 16, 1387, 10.1142/S0219622014500321

Mou, 2017, A graph based group decision making approach with intuitionistic fuzzy preference relations, Computers & Industrial Engineering, 110, 138, 10.1016/j.cie.2017.05.033

Yu, 2017, Derivatives and differentials for multiplicative intuitionistic fuzzy information, Applied Mathematics-a Journal of Chinese Universities Series B, 32, 443, 10.1007/s11766-017-3479-3

Atanassov, 1989, Interval valued intuitionistic fuzzy-sets, Fuzzy Sets and Systems, 31, 343, 10.1016/0165-0114(89)90205-4

Wu, 2019, VIKOR method for financing risk assessment of rural tourism projects under interval-valued intuitionistic fuzzy environment, Journal of Intelligent & Fuzzy Systems, 37, 2001, 10.3233/JIFS-179262

Roy, 2019, An Extension of the CODAS Approach Using Interval-Valued Intuitionistic Fuzzy Set for Sustainable Material Selection in Construction Projects with Incomplete Weight Information, Symmetry-Basel, 11, 24

Wu, 2020, Some Interval-Valued Intuitionistic Fuzzy Dombi Heronian Mean Operators and their Application for Evaluating the Ecological Value of Forest Ecological Tourism Demonstration Areas, International Journal of Environmental Research and Public Health, 17, 829, 10.3390/ijerph17030829

Wu, 2019, Models for competiveness evaluation of tourist destination with some interval-valued intuitionistic fuzzy Hamy mean operators, Journal of Intelligent & Fuzzy Systems, 36, 5693, 10.3233/JIFS-181545

Qin, 2018, A Novel Method for Interval-Value Intuitionistic Fuzzy Multicriteria Decision-Making Problems with Immediate Probabilities Based on OWA Distance Operators, Math Probl Eng, 2018, 11, 10.1155/2018/1359610

Shen, 2019, Multiattribute decision making based on the binary connection number in set pair analysis under an interval-valued intuitionistic fuzzy set environment, Soft Comput, 2019, 9

Garg, 2019, Linguistic Interval-Valued Atanassov Intuitionistic Fuzzy Sets and Their Applications to Group Decision Making Problems, Ieee Transactions on Fuzzy Systems, 27, 2302, 10.1109/TFUZZ.2019.2897961

Arora R. and Garg H. , Group decision-making method based on prioritized linguistic intuitionistic fuzzy aggregation operators and its fundamental properties, Computational & Applied Mathematics 38 (2019).

Chen, 2018, Multiattribute decision making based on Shannon’s information entropy, non-linear programming methodology, and interval-valued intuitionistic fuzzy values, Information Sciences, 465, 404, 10.1016/j.ins.2018.06.047

Wei, 2019, 2-tuple intuitionistic fuzzy linguistic aggregation operators in multiple attribute decision making, Iranian Journal of Fuzzy Systems, 16, 159

Garg, 2018, A nonlinear-programming methodology for multi-attribute decision-making problem with interval-valued intuitionistic fuzzy soft sets information, Applied Intelligence, 48, 2031, 10.1007/s10489-017-1035-8

Garg, 2020, A novel exponential distance and its based TOPSIS method for interval-valued intuitionistic fuzzy sets using connection number of SPA theory, Artificial Intelligence Review, 53, 595, 10.1007/s10462-018-9668-5

Garg, 2020, A novel possibility measure to interval-valued intuitionistic fuzzy set using connection number of set pair analysis and its applications, Neural Computing & Applications, 32, 3337, 10.1007/s00521-019-04291-w

Gomes, 1991, TODIM: basic and application to multicriteria ranking of projects with environmental impacts, Foundations of Computing and Decision Sciences, 16, 113

Gomes, 2009, An application of the TODIM method to the multicriteria rental evaluation of residential properties, European Journal of Operational Research, 193, 204, 10.1016/j.ejor.2007.10.046

Wei, 2015, A hesitant fuzzy linguistic TODIM method based on a score function, International Journal of Computational Intelligence Systems, 8, 701, 10.1080/18756891.2015.1046329

Zhang, 2014, The TODIM analysis approach based on novel measured functions under hesitant fuzzy environment, Knowledge-Based Systems, 61, 48, 10.1016/j.knosys.2014.02.006

Gomes, 2009, Multicriteria analysis of natural gas destination in Brazil: An application of the TODIM method, Mathematical and Computer Modelling, 50, 92, 10.1016/j.mcm.2009.02.013

Mishra, 2018, Biparametric Information Measures-Based TODIM Technique for Interval-Valued Intuitionistic Fuzzy Environment, Arabian Journal for Science and Engineering, 43, 3291, 10.1007/s13369-018-3069-6

Lourenzutti, 2013, A study of TODIM in a intuitionistic fuzzy and random environment, Expert Systems with Applications, 40, 6459, 10.1016/j.eswa.2013.05.070

Wang, 2018, TODIM Method for Multiple Attribute Group Decision Making under 2-Tuple Linguistic Neutrosophic Environment, Symmetry-Basel, 10, 486, 10.3390/sym10100486

Krohling, 2013, IF-TODIM: An intuitionistic fuzzy TODIM to multi-criteria decision making, Knowledge-Based Systems, 53, 142, 10.1016/j.knosys.2013.08.028

Alali, 2019, Portfolio allocation with the TODIM method, Expert Systems with Applications, 124, 341, 10.1016/j.eswa.2019.01.054

Liang, 2020, Risk appetite dual hesitant fuzzy three-way decisions with TODIM, Information Sciences, 507, 585, 10.1016/j.ins.2018.12.017

Liang, 2019, An Improved Multi-granularity Interval 2-Tuple TODIM Approach and Its Application to Green Supplier Selection, Int J Fuzzy Syst, 21, 129, 10.1007/s40815-018-0546-8

Nie, 2019, Green Supplier Selection With a Continuous Interval-Valued Linguistic TODIM Method, Ieee Access, 7, 124315, 10.1109/ACCESS.2019.2937994

Wang, 2018, TODIM Method for Multiple Attribute Group Decision Making under 2-Tuple Linguistic Neutrosophic Environment, Symmetry-Basel, 10, 15

Tian, 2019, An Extended TODIM Based on Cumulative Prospect Theory and Its Application in Venture Capital, Informatica, 30, 413, 10.15388/Informatica.2019.212

Liu, 2011, Assessment of urban ecological risk from spatial interaction models for Lijiang City, International Journal of Sustainable Development and World Ecology, 18, 537, 10.1080/13504509.2011.604682

Perrodin, 2011, Ecological risk assessment of urban and industrial systems: A review, Science of the Total Environment, 409, 5162, 10.1016/j.scitotenv.2011.08.053

Bae, 2020, Ecological Risk Assessment of Urban Streams Using Fish Biomarkers of DNA Damage and Physiological Responses, Polish Journal of Environmental Studies, 29, 1077, 10.15244/pjoes/104660

Kim, 2014, A new approach of Integrated Health Responses (IHRs) modeling for ecological risk/health assessments of an urban stream, Chemosphere, 108, 376, 10.1016/j.chemosphere.2014.02.025

Li, 2017, Dynamics and ecological risk assessment of chromophoric dissolved organic matter in the Yinma River Watershed: Rivers, reservoirs, and urban waters, Environmental Research, 158, 245, 10.1016/j.envres.2017.06.020

Jayarathne, 2018, Assessment of ecological and human health risks of metals in urban road dust based on geochemical fractionation and potential bioavailability, Science of the Total Environment, 635, 1609, 10.1016/j.scitotenv.2018.04.098

Atanassov, 1994, Operators over interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64, 159, 10.1016/0165-0114(94)90331-X

Guo, 2019, Knowledge measure for interval-valued intuitionistic fuzzy sets and its application to decision making under uncertainty, Soft Comput, 23, 6967, 10.1007/s00500-018-3334-3

Wei, 2019, The Novel Generalized Exponential Entropy for Intuitionistic Fuzzy Sets and Interval Valued Intuitionistic Fuzzy Sets, Int J Fuzzy Syst, 21, 2327, 10.1007/s40815-019-00743-6

Li, 2019, New failure mode and effect analysis approach considering consensus under interval-valued intuitionistic fuzzy environment, Soft Comput, 23, 11611, 10.1007/s00500-018-03706-5

Chen, 2019, Multiattribute decision making based on probability density functions and the variances and standard deviations of largest ranges of evaluating interval-valued intuitionistic fuzzy values, Information Sciences, 490, 329, 10.1016/j.ins.2019.03.046

Xu, 2008, An overview of distance and similarity measures of Intuitionistic Fuzzy Sets, Int J Uncertainty Fuzziness Knowl-Based Syst, 16, 529, 10.1142/S0218488508005406

Abdullah, 2019, An interval-valued intuitionistic fuzzy DEMATEL method combined with Choquet integral for sustainable solid waste management, Eng Appl Artif Intell, 82, 207, 10.1016/j.engappai.2019.04.005

Kong, 2019, A decision variable-based combinatorial optimization approach for interval-valued intuitionistic fuzzy MAGDM, Information Sciences, 484, 197, 10.1016/j.ins.2019.01.016

Lei, 2020, TOPSIS Method for Developing Supplier Selection with Probabilistic Linguistic Information, International Journal of Fuzzy Systems, 22, 749, 10.1007/s40815-019-00797-6

Wang, 2020, MABAC method for multiple attribute group decision making under q-rung orthopair fuzzy environment, Defence Technology, 16, 208, 10.1016/j.dt.2019.06.019

Wei, 2020, Selecting the Low-Carbon Tourism Destination: Based on Pythagorean Fuzzy Taxonomy Method, Mathematics, 8, 832, 10.3390/math8050832

Kahneman, 1992, Advances in prospect theory: cumulative representation of uncertainty, Journal of Risk and Uncertainty, 5, 297, 10.1007/BF00122574

Xu Z. , Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making, Cont rol and Decision 22 (2007).

Xu, 2007, Approach to Group Decision Making Based on Interval-Valued Intuitionistic Judgment Matrices, Systems Engineering - Theory & Practice, 27, 126, 10.1016/S1874-8651(08)60026-5

Wang, 2019, Some q-rung orthopair fuzzy Hamy mean operators in multiple attribute decision-making and their application to enterprise resource planning systems selection, International Journal of Intelligent Systems, 34, 2429, 10.1002/int.22155

Wei, 2019, Methods for Evaluating the Technological Innovation Capability for the High-Tech Enterprises With Generalized Interval Neutrosophic Number Bonferroni Mean Operators, Ieee Access, 7, 86473, 10.1109/ACCESS.2019.2925702

Wang, 2019, The Multi-Attributive Border Approximation Area Comparison (MABAC) for Multiple Attribute Group Decision Making Under 2-Tuple Linguistic Neutrosophic Environment, Informatica, 30, 799, 10.15388/Informatica.2019.230

Garg H. and Kaur G. , Quantifying gesture information in brain hemorrhage patients using probabilistic dual hesitant fuzzy sets with unknown probability information, Computers & Industrial Engineering 140 (2020).