Abstract
This chapter is a continuation to the series of ELECTRE methods as it delineates another variant of the ELECTRE family, namely, multi-polar (m–polar) fuzzy ELECTRE IV method. The presented procedure takes the advantage of outranking principles of the ELECTRE family to specify the optimal alternative but the noticeable edge of the m–polar fuzzy ELECTRE IV method is its unique procedure that does not need the criteria weight for operation. The presented technique competently captures the multi-polarity and fuzziness of the real world problems, simultaneously. Further, the presented variant is competent enough to filter out five different classes of dominance to rank the alternatives.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Abedi, M., Torabi, S.A., Norouzi, G.H., Hamzeh, M.: ELECTRE III: a knowledge-driven method for integration of geophysical data with geological and geochemical data in mineral prospectivity map**. J. Appl. Geophys. 87, 9–18 (2012)
Adeel, A., Akram, M., Ahmed, I., Nazar, K.: Novel \(m\)-polar fuzzy linguistic ELECTRE-I method for group decision making. Symmetry 11(4), 471 (2019)
Adeel, A., Akram, M., Koam, A.N.: Group decision making based on \(m\)–polar fuzzy linguistic TOPSIS method. Symmetry 11(6), 735 (2019)
Akram, M., Garg, H., Zahid, K.: Extensions of ELECTRE-I and TOPSIS methods for group decision making under complex Pythagorean fuzzy environment. Iran. J. Fuzzy Syst. 17(5), 147–164 (2020)
Akram, M., Ilyas, F., Garg, H.: Multi-criteria group decision making based on ELECTRE I method in Pythagorean fuzzy information. Soft Comput. 24, 3425–3453 (2020)
Akram, M., Ilyas, F., Garg, H.: ELECTRE-II method for group decision making in Pythagorean fuzzy environment. Appl. Intell. 51, 8701–8719 (2021)
Akram, M., Ilyas, F., Al-Kenani, A.N.: Two-phase group decision-aiding system using ELECTRE III method in Pythagorean fuzzy environment. Arab. J. Sci. Eng. 46(4), 3549–3566 (2021)
Akram, M., Shumaiza, Alcantud, J.C.R.: An \(m\)–polar fuzzy PROMETHEE approach for AHP-assisted group decision making. Math. Comput. Appl. 25(2), 26 (2020)
Akram, M., Shumaiza, Arshad, M.: Bipolar fuzzy TOPSIS and bipolar fuzzy ELECTRE-I methods to diagnosis. Math. Comput. Appl. 39(7), 1–21 (2020)
Akram, M., Waseem, N., Liu, P.: Novel approach in decision making with \(m\) polar fuzzy ELECTRE-I. Int. J. Fuzzy Syst. 21, 1117–1129 (2019)
Akram, M., Zahid, K., Deveci, M.: Multi-criteria group decision making for optimal management of water supply with fuzzy ELECTRE-based outranking method. Appl. Soft Comput. 143, 110403 (2023)
Akram, M., Zahid, K., Kahraman, C.: Integrated outranking techniques based on spherical fuzzy information for the digitalization of transportation system. Appl. Soft Comput. 134, 109992 (2023)
Akram, M., Shahzadi, S.: Novel intuitionistic fuzzy soft multiple-attribute decision making methods. Neural Comput. Appl. 29, 435–447 (2018)
Bellman, R.E., Zadeh, L.A.: Decision making in a fuzzy environment. Manag. Sci. 17(4), B141–B164 (1970)
Benayoun, R., Roy, B., Sussman, N.: Manual de réference du programme ELECTRE. Note de Synthese et Formation 25, 79 (1966)
Buchanan, J.T., Sheppard, P.J., Vanderpooten, D.: Project Ranking Using ELECTRE III. University of Waikato, Department of Management Systems (1999)
Chen, S.M., Niou, S.J.: Fuzzy multiple-attributes group decision making based on fuzzy preference relations. Expert Syst. Appli. 38(4), 3865–3872 (2011)
Chen, S.M., Jong, W.T.: Fuzzy query translation for relational database systems. IEEE Trans. Syst. Man Cybern. 27(4), 714–721 (1997)
Chen, J., Li, S., Ma, S., Wang, X.: \(m\)–Polar fuzzy sets: an extension of bipolar fuzzy sets. Sci. World J. (2014). https://doi.org/10.1155/2014/416530
Chen, Y., Li, L., Shen, Y., Liu, B., Wang, D., Chen, S.: Group decision making framework for site selection of coastal nuclear power plants in a linguistic environment: a sustainability perspective. Int. J. Green Energy 18(11), 1161–1172 (2021)
Dasc\(\breve{a}\)l, I.: An implementation of the ELECTRE II method using fuzzy numbers. Theory Appl. Math. Comput. Sci. 11(1), 14–24 (2021)
Duckstein, L., Gershon, M.: Multicriterion analysis of a vegetation management problem using ELECTRE II. Appl. Math. Model. 7(4), 254–261 (1983)
Figueira, J.R., Mousseau, V., Roy, B.: ELECTRE methods. In: S. Greco, M. Ehrgott, J. Figueira (eds.) Multiple Criteria Decision Analysis. International Series in Operations Research and Management Science, p. 233. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3094-4_5
Gao, T., Na, S., Dang, X., Zhang, Y.: Study of the competitiveness of Quanzhou port on the belt and road in China based on a fuzzy-AHP and ELECTRE III model. Sustainability 10(4), 1253 (2018)
Govindan, K., Grigore, M.C., Kannan, D.: Ranking of third party logistics provider using fuzzy Electre II. In: The 40th International Conference on Computers and Indutrial Engineering, pp. 1–5 (2010). https://doi.org/10.1109/ICCIE.2010.5668366.
Grolleau, J., Tergny, J.: Manuel de réference du programme ELECTRE II. Document de travail 24, SEMA-METRA International, Direction Scientifique (1971)
Hatami-Marbini, A., Tavana, M.: An extension of the Electre I method for group decision making under a fuzzy environment. Omega 39(4), 373–386 (2011)
Hokkanen, J., Salminen, P., Rossi, E., Ettala, M.: The choice of a solid waste management system using the ELECTRE II decision-aid method. Waste Manag. Res. 13(2), 175–193 (1995)
Hwang, C.L., Yoon, K.: Multiple Attributes Decision Making Methods and Applications. Springer, Berlin (1981)
Jun, D., Tian-Tian, F., Yi-Sheng, Y., Yu, M.: Macro-site selection of wind/solar hybrid power station based on ELECTRE-II. Renew. Sustain. Energy Rev. 35, 194–204 (2014)
Kaya, T., Kahraman, C.: An integrated fuzzy AHP-ELECTRE methodology for environmental impact assessment. Expert. Syst. Appl. 38(7), 8553–8562 (2011)
La Fata, C.M., Lupo, T., Piazza, T.: Service quality benchmarking via a novel approach based on fuzzy ELECTRE III and IPA: an empirical case involving the Italian public healthcare context. Health Care Manag. Sci. 22(1), 106–120 (2019)
Leyva-Lopez, J.C., Fernandez-Gonzalez, E.: A new method for group decision support based on ELECTRE III methodology. Eur. J. Oper. Res. 148(1), 14–27 (2003)
Liu, X., Ma, Y.: A method to analyze the rank reversal problem in the ELECTRE II method. Omega 102, 102317 (2021)
Li, H.F., Wang, J.J.: An improved ranking method for ELECTRE III. In: 2007 International Conference on Wireless Communications, Networking and Mobile Computing, IEEE, pp. 6659–6662 (2007)
Lupo, T.: Fuzzy ServPerf model combined with ELECTRE III to comparatively evaluate service quality of international airports in Sicily. J. Air Transp. Manag. 42, 249–259 (2015)
Mabkhot, M.M., Darmoul, S., Al-Samhan, A.M., Badwelan, A.: A multi-criteria decision framework considering different levels of decision-maker involvement to reconfigure manufacturing systems. Machines 8(1), 8 (2020)
Marzouk, M.M.: ELECTRE III model for value engineering applications. Autom. Constr. 20(5), 596–600 (2011)
Mir, M.S.S., Afzalirad, M., Ghorbanzadeh, M.: A robust fuzzy hybrid MCDM ranking method for optimal selection of lithium extraction process from brine and seawater. Miner. Eng. 169, 106957 (2021)
Montazer, G.A., Saremi, H.Q., Ramezani, M.: Design a new mixed expert decision aiding system using fuzzy ELECTRE III method for vendor selection. Expert. Syst. Appl. 36(8), 10837–10847 (2009)
Noori, A., Bonakdari, H., Morovati, K., Gharabaghi, B.: Development of optimal water supply plan using integrated fuzzy Delphi and fuzzy ELECTRE III methods-Case study of the Gamasiab basin. Expert Syst. 37(5), e12568 (2020)
Papadopoulos, A., Karagiannidis, A.: Application of the multi-criteria analysis method Electre III for the optimisation of decentralised energy systems. Omega 36(5), 766–776 (2008)
Rogers, M.G., Bruen, M., Maystre, L.Y.: Electre and Decision Support: Methods and Applications in Engineering and Infrastructure Investment. Springer Science & Business Media (2013)
Rogers, M., Bruen, M.: Choosing realistic values of indifference, preference and veto thresholds for use with environmental criteria within ELECTRE. Eur. J. Oper. Res. 107(3), 542–551 (1998)
Rogers, M., Bruen, M.: A new system for weighting environmental criteria for use within ELECTRE III. Eur. J. Oper. Res. 107(3), 552–563 (1998)
Roy, B.: The outranking approach and the foundations of ELECTRE methods. Theory Decis. 31, 49–73 (1991)
Roy, B.: Classement et choix en présence de points de vue multiples. Revue Française d’informatique et de Recherche Opérationnelle 2(8), 57–75 (1968)
Roy, B., Figueira, J.R., Almeida-Dias, J.: Discriminating thresholds as a tool to cope with imperfect knowledge in multiple criteria decision aiding: theoretical results and practical issues. Omega 43, 9–20 (2014)
Roy, B., Hugonnard, J.C.: Classement des prolongements de lignes de metro en banlieue parisienne (presentation d’une methode multicritere originale). Cahiers du CERO 24, 153–171 (1982)
Sarwar, M., Akram, M., Shahzadi, S.: Distance measures and \(\delta \)-approximations with rough complex fuzzy models. Granular Comput. 8, 893–916 (2023)
Shahzadi, S., Akram, M.: Intuitionistic fuzzy soft graphs with applications. J. Appl. Math. Comput. 55, 369–392 (2017)
Sevkli, M.: An application of the fuzzy ELECTRE method for supplier selection. Int. J. Prod. Res. 48(12), 3393–3405 (2010)
Shumaiza, Akram, M., Al-Kenani, A.N.: Multiple-attribute decision making ELECTRE II method under bipolar fuzzy model. Algorithms 12(11), 226 (2019)
Takeda, E.: A method for multiple pseudo-criteria decision problems. Comput. Oper. Res. 28(14), 1427–1439 (2001)
Torkayesh, A.E., Fathipoir, F., Saidi-Mehrabd, M.: Entropy-based multi-criteria analysis of thermochemical conversions for energy recovery from municipal solid waste using fuzzy VIKOR and ELECTRE III: case of Azerbaijan region. Iran J. Energy Manag. Technol. 3(1), 17–29 (2019)
Vahdani, B., Mousavi, S.M., Hashemi, H., Mousakhani, M., Tavakkoli-Moghaddam, R.: A new compromise solution method for fuzzy group decision making problems with an application to the contractor selection. Eng. Appl. Artif. Intell. 26(2), 779–788 (2013)
Vallee, D., Zielniewicz, P.: ELECTRE III-IV, version 3.x: Guide D’Utilisation. Document de LAMSADE, No. 85, Universite Paris-Dauphine (1994)
Waseem, N., Akram, M., Alcantud, J.C.R.: Multi-attribute decision making based on \(m\)–polar fuzzy Hamacher aggregation operators. Symmetry 11(12), 1498 (2019)
Zadeh, L.A.: Fuzzy sets. Inf. Control 8(3), 338–353 (1965)
Zahid, K., Akram, M., Kahraman, C.: A new ELECTRE-based method for group decision making with complex spherical fuzzy information. Knowl.-Based Syst. 243, 108525 (2022)
\(\dot{Z}\)ak,J., Kruszy\(\acute{n}\)ski, M.: Application of AHP and ELECTRE III/IV methods to multiple level, multiple criteria evaluation of urban transportation projects. Transp. Res. Procedia 10, 820–830 (2015)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Akram, M., Adeel, A. (2023). Extended ELECTRE IV Method with Multi-polar Fuzzy Sets. In: Multiple Criteria Decision Making Methods with Multi-polar Fuzzy Information. Studies in Fuzziness and Soft Computing, vol 430. Springer, Cham. https://doi.org/10.1007/978-3-031-43636-9_6
Download citation
DOI: https://doi.org/10.1007/978-3-031-43636-9_6
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-43635-2
Online ISBN: 978-3-031-43636-9
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)