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Erschienen in: Soft Computing 6/2020

19.07.2019 | Methodologies and Application

A novel spherical fuzzy analytic hierarchy process and its renewable energy application

verfasst von: Fatma Kutlu Gündoğdu, Cengiz Kahraman

Erschienen in: Soft Computing | Ausgabe 6/2020

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Abstract

The extensions of ordinary fuzzy sets such as intuitionistic fuzzy sets, Pythagorean fuzzy sets, and neutrosophic sets, whose membership functions are based on three dimensions, aim at collecting experts’ judgments more informatively and explicitly. In the literature, generalized three-dimensional spherical fuzzy sets have been introduced by Kutlu Gündoğdu and Kahraman (J Intell Fuzzy Syst 36(1):337–352, 2019a), including their arithmetic operations, aggregation operators, and defuzzification operations. In this paper, our aim is to extend classical analytic hierarchy process (AHP) to spherical fuzzy AHP (SF-AHP) method and to show its applicability and validity through a renewable energy location selection example and a comparative analysis between neutrosophic AHP and SF-AHP.

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Literatur
Zurück zum Zitat Abdel-Basset M, Mohamed M, Sangaiah AK (2018) Neutrosophic AHP-Delphi Group decision making model based on trapezoidal neutrosophic numbers. J Ambient Intell Humaniz Comput 9(5):1427–1443 Abdel-Basset M, Mohamed M, Sangaiah AK (2018) Neutrosophic AHP-Delphi Group decision making model based on trapezoidal neutrosophic numbers. J Ambient Intell Humaniz Comput 9(5):1427–1443
Zurück zum Zitat Arqub OA (2016) The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations. Math Methods Appl Sci 39(15):4549–4562MathSciNetMATH Arqub OA (2016) The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations. Math Methods Appl Sci 39(15):4549–4562MathSciNetMATH
Zurück zum Zitat Arqub OA (2017) Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations. Neural Comput Appl 28(7):1591–1610 Arqub OA (2017) Adaptation of reproducing kernel algorithm for solving fuzzy Fredholm–Volterra integrodifferential equations. Neural Comput Appl 28(7):1591–1610
Zurück zum Zitat Arqub OA, Mohammed AS, Momani S, Hayat T (2016) Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method. Soft Comput 20(8):3283–3302MATH Arqub OA, Mohammed AS, Momani S, Hayat T (2016) Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method. Soft Comput 20(8):3283–3302MATH
Zurück zum Zitat Arqub OA, Al-Smadi M, Momani S, Hayat T (2017) Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems. Soft Comput 21(23):7191–7206MATH Arqub OA, Al-Smadi M, Momani S, Hayat T (2017) Application of reproducing kernel algorithm for solving second-order, two-point fuzzy boundary value problems. Soft Comput 21(23):7191–7206MATH
Zurück zum Zitat Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96MATH Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96MATH
Zurück zum Zitat Atanassov KT (2016) Geometrical interpretation of the elements of the intuitionistic fuzzy objects Preprint IM-MFAIS (1989) 1-89, Sofia. Reprinted: Int J Bioautomation 20(S1):27–42 Atanassov KT (2016) Geometrical interpretation of the elements of the intuitionistic fuzzy objects Preprint IM-MFAIS (1989) 1-89, Sofia. Reprinted: Int J Bioautomation 20(S1):27–42
Zurück zum Zitat Bolturk E, Kahraman C (2018) A novel interval-valued neutrosophic AHP with cosine similarity measure. Soft Comput 1:1–8 Bolturk E, Kahraman C (2018) A novel interval-valued neutrosophic AHP with cosine similarity measure. Soft Comput 1:1–8
Zurück zum Zitat Boltürk E, Çevik Onar S, Öztayşi B, Kahraman C, Goztepe K (2016) Multi-attribute warehouse location selection in humanitarian logistics using hesitant fuzzy AHP. Int J Anal Hierarchy Process 8:271–298 Boltürk E, Çevik Onar S, Öztayşi B, Kahraman C, Goztepe K (2016) Multi-attribute warehouse location selection in humanitarian logistics using hesitant fuzzy AHP. Int J Anal Hierarchy Process 8:271–298
Zurück zum Zitat Cabrerizo FJ, Al-Hmouz R, Morfeq A, Balamash AS, Martínez MA, Herrera-Viedma E (2017) Soft consensus measures in group decision making using unbalanced fuzzy linguistic information. Soft Comput 21(11):3037–3050MATH Cabrerizo FJ, Al-Hmouz R, Morfeq A, Balamash AS, Martínez MA, Herrera-Viedma E (2017) Soft consensus measures in group decision making using unbalanced fuzzy linguistic information. Soft Comput 21(11):3037–3050MATH
Zurück zum Zitat Capuano N, Chiclana F, Fujita H, Herrera-Viedma E, Loia V (2017) Fuzzy group decision making with incomplete information guided by social influence. IEEE Trans Fuzzy Syst 26(3):1704–1718 Capuano N, Chiclana F, Fujita H, Herrera-Viedma E, Loia V (2017) Fuzzy group decision making with incomplete information guided by social influence. IEEE Trans Fuzzy Syst 26(3):1704–1718
Zurück zum Zitat Chang DY (1996) Applications of the extent analysis method on fuzzy AHP. Eur J Oper Res 95(3):649–655MathSciNetMATH Chang DY (1996) Applications of the extent analysis method on fuzzy AHP. Eur J Oper Res 95(3):649–655MathSciNetMATH
Zurück zum Zitat Cheng SH, Chen SM, Huang ZC (2016) Autocratic decision making using group recommendations based on ranking interval type-2 fuzzy sets. Inf Sci 361:135–161 Cheng SH, Chen SM, Huang ZC (2016) Autocratic decision making using group recommendations based on ranking interval type-2 fuzzy sets. Inf Sci 361:135–161
Zurück zum Zitat Chiao KP (2016) The multi-criteria group decision making methodology using type 2 fuzzy linguistic judgments. Appl Soft Comput 49:189–211 Chiao KP (2016) The multi-criteria group decision making methodology using type 2 fuzzy linguistic judgments. Appl Soft Comput 49:189–211
Zurück zum Zitat Garibaldi JM, Ozen T (2007) Uncertain fuzzy reasoning: a case study in modelling expert decision making. IEEE Trans Fuzzy Syst 15(1):16–30 Garibaldi JM, Ozen T (2007) Uncertain fuzzy reasoning: a case study in modelling expert decision making. IEEE Trans Fuzzy Syst 15(1):16–30
Zurück zum Zitat Gim B, Kim JW (2014) Multi-criteria evaluation of hydrogen storage systems for automobiles in Korea using the fuzzy analytic hierarchy process. Int J Hydrog Energy 39(15):7852–7858 Gim B, Kim JW (2014) Multi-criteria evaluation of hydrogen storage systems for automobiles in Korea using the fuzzy analytic hierarchy process. Int J Hydrog Energy 39(15):7852–7858
Zurück zum Zitat Grattan-Guinness I (1976) Fuzzy membership mapped onto intervals and many-valued quantities. Math Logic Q 22(1):149–160MathSciNetMATH Grattan-Guinness I (1976) Fuzzy membership mapped onto intervals and many-valued quantities. Math Logic Q 22(1):149–160MathSciNetMATH
Zurück zum Zitat Ilbahar E, Karaşan A, Cebi S, Kahraman C (2018) A novel approach to risk assessment for occupational health and safety using Pythagorean fuzzy AHP and fuzzy inference system. Saf Sci 103:124–136 Ilbahar E, Karaşan A, Cebi S, Kahraman C (2018) A novel approach to risk assessment for occupational health and safety using Pythagorean fuzzy AHP and fuzzy inference system. Saf Sci 103:124–136
Zurück zum Zitat Jin F, Ni Z, Chen H, Li Y (2016) Approaches to group decision making with intuitionistic fuzzy preference relations based on multiplicative consistency. Knowl Based Syst 97:48–59 Jin F, Ni Z, Chen H, Li Y (2016) Approaches to group decision making with intuitionistic fuzzy preference relations based on multiplicative consistency. Knowl Based Syst 97:48–59
Zurück zum Zitat Kahraman C, Kaya İ (2010) A fuzzy multicriteria methodology for selection among energy alternatives. Expert Syst Appl 37(9):6270–6281 Kahraman C, Kaya İ (2010) A fuzzy multicriteria methodology for selection among energy alternatives. Expert Syst Appl 37(9):6270–6281
Zurück zum Zitat Kahraman C, Öztayşi B, Sarı İU, Turanoğlu E (2014) Fuzzy analytic hierarchy process with interval type-2 fuzzy sets. Knowl Based Syst 59:48–57 Kahraman C, Öztayşi B, Sarı İU, Turanoğlu E (2014) Fuzzy analytic hierarchy process with interval type-2 fuzzy sets. Knowl Based Syst 59:48–57
Zurück zum Zitat Kahraman C, Öztayşi B, Onar SÇ, Boltürk E (2018) Neutrosophic AHP and prioritization of legal service outsourcing firms/law offices. Int J Inf Technol Decis Mak 15(02):1176–1183 Kahraman C, Öztayşi B, Onar SÇ, Boltürk E (2018) Neutrosophic AHP and prioritization of legal service outsourcing firms/law offices. Int J Inf Technol Decis Mak 15(02):1176–1183
Zurück zum Zitat Kaya İ, Öztayşi B, Kahraman C (2012) A two-phased fuzzy multicriteria selection among public transportation investments for policy-making and risk governance. Int J Uncertain Fuzziness Knowl Based Syst 20(supp01):31–48 Kaya İ, Öztayşi B, Kahraman C (2012) A two-phased fuzzy multicriteria selection among public transportation investments for policy-making and risk governance. Int J Uncertain Fuzziness Knowl Based Syst 20(supp01):31–48
Zurück zum Zitat Kutlu Gündoğdu F, Kahraman C, Civan HN (2018) A novel hesitant fuzzy EDAS method and its application to hospital selection. J Intell Fuzzy Syst 35(6):6353–6365 Kutlu Gündoğdu F, Kahraman C, Civan HN (2018) A novel hesitant fuzzy EDAS method and its application to hospital selection. J Intell Fuzzy Syst 35(6):6353–6365
Zurück zum Zitat Kutlu Gündoğdu F, Kahraman C (2019a) Spherical fuzzy sets and spherical fuzzy TOPSIS method. J Intell Fuzzy Syst 36(1):337–352 Kutlu Gündoğdu F, Kahraman C (2019a) Spherical fuzzy sets and spherical fuzzy TOPSIS method. J Intell Fuzzy Syst 36(1):337–352
Zurück zum Zitat Kutlu Gündoğdu F, Kahraman C (2019b) Extension of WASPAS with spherical fuzzy sets. Informatica 30(2):269–292 Kutlu Gündoğdu F, Kahraman C (2019b) Extension of WASPAS with spherical fuzzy sets. Informatica 30(2):269–292
Zurück zum Zitat Kutlu Gündoğdu F, Kahraman C (2019d) A novel fuzzy TOPSIS method using emerging interval-valued spherical fuzzy sets. Eng Appl Artif Intell 85:307–323 Kutlu Gündoğdu F, Kahraman C (2019d) A novel fuzzy TOPSIS method using emerging interval-valued spherical fuzzy sets. Eng Appl Artif Intell 85:307–323
Zurück zum Zitat Liu W, Dong Y, Chiclana F, Cabrerizo FJ, Herrera-Viedma E (2017a) Group decision-making based on heterogeneous preference relations with self-confidence. Fuzzy Optim Decis Mak 16(4):429–447MathSciNetMATH Liu W, Dong Y, Chiclana F, Cabrerizo FJ, Herrera-Viedma E (2017a) Group decision-making based on heterogeneous preference relations with self-confidence. Fuzzy Optim Decis Mak 16(4):429–447MathSciNetMATH
Zurück zum Zitat Liu Z, Liu P, Liu W, Pang J (2017b) Pythagorean uncertain linguistic partitioned Bonferroni mean operators and their application in multi-attribute decision making. J Intell Fuzzy Syst 32(3):2779–2790MathSciNetMATH Liu Z, Liu P, Liu W, Pang J (2017b) Pythagorean uncertain linguistic partitioned Bonferroni mean operators and their application in multi-attribute decision making. J Intell Fuzzy Syst 32(3):2779–2790MathSciNetMATH
Zurück zum Zitat Ozgen D, Gulsun B (2014) Combining possibilistic linear programming and fuzzy AHP for solving the multi-objective capacitated multi-facility location problem. Inf Sci 268:185–201MathSciNetMATH Ozgen D, Gulsun B (2014) Combining possibilistic linear programming and fuzzy AHP for solving the multi-objective capacitated multi-facility location problem. Inf Sci 268:185–201MathSciNetMATH
Zurück zum Zitat Oztaysi B, Onar SC, Kahraman C (2017) Prioritization of business analytics projects using interval type-2 fuzzy AHP. In Advances in fuzzy logic and technology. Springer, Cham, pp 106–117MATH Oztaysi B, Onar SC, Kahraman C (2017) Prioritization of business analytics projects using interval type-2 fuzzy AHP. In Advances in fuzzy logic and technology. Springer, Cham, pp 106–117MATH
Zurück zum Zitat Öztaysi B, Onar SÇ, Boltürk E, Kahraman C (2015) Hesitant fuzzy analytic hierarchy process. In 2015 IEEE international conference on fuzzy systems (FUZZ-IEEE). IEEE, pp 1–7 Öztaysi B, Onar SÇ, Boltürk E, Kahraman C (2015) Hesitant fuzzy analytic hierarchy process. In 2015 IEEE international conference on fuzzy systems (FUZZ-IEEE). IEEE, pp 1–7
Zurück zum Zitat Rezaei J, Fahim PB, Tavasszy L (2014) Supplier selection in the airline retail industry using a funnel methodology: conjunctive screening method and fuzzy AHP. Expert Syst Appl 41(18):8165–8179 Rezaei J, Fahim PB, Tavasszy L (2014) Supplier selection in the airline retail industry using a funnel methodology: conjunctive screening method and fuzzy AHP. Expert Syst Appl 41(18):8165–8179
Zurück zum Zitat Sambuc R (1975) Function Φ-Flous, Application a l’aide au Diagnostic en Pathologie Thyroidienne. University of Marseille Sambuc R (1975) Function Φ-Flous, Application a l’aide au Diagnostic en Pathologie Thyroidienne. University of Marseille
Zurück zum Zitat Smarandache F (1999) A unifying field in logics neutrosophy: neutrosophic probability, set and logic. American Research Press, Rehoboth, pp 1–141 Smarandache F (1999) A unifying field in logics neutrosophy: neutrosophic probability, set and logic. American Research Press, Rehoboth, pp 1–141
Zurück zum Zitat Smarandache F (2003) Definition of neutrosophic logic: a generalization of the intuitionistic fuzzy logic. In: Proceedings of the third conference of the European society for fuzzy logic and technology, EUSFLAT 2003, September 10–12, 2003, Zittau, Germany. University of Applied Sciences at Zittau, Goerlitz pp 141–146 Smarandache F (2003) Definition of neutrosophic logic: a generalization of the intuitionistic fuzzy logic. In: Proceedings of the third conference of the European society for fuzzy logic and technology, EUSFLAT 2003, September 10–12, 2003, Zittau, Germany. University of Applied Sciences at Zittau, Goerlitz pp 141–146
Zurück zum Zitat Tan RR, Aviso KB, Huelgas AP, Promentilla MA (2014) Fuzzy AHP approach to selection problems in process engineering involving quantitative and qualitative aspects. Process Saf Environ Prot 92(5):467–475 Tan RR, Aviso KB, Huelgas AP, Promentilla MA (2014) Fuzzy AHP approach to selection problems in process engineering involving quantitative and qualitative aspects. Process Saf Environ Prot 92(5):467–475
Zurück zum Zitat Tooranloo HS, Iranpour A (2017) Supplier selection and evaluation using interval-valued intuitionistic fuzzy AHP method. Int J Procure Manag 10(5):539–554 Tooranloo HS, Iranpour A (2017) Supplier selection and evaluation using interval-valued intuitionistic fuzzy AHP method. Int J Procure Manag 10(5):539–554
Zurück zum Zitat Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25(6):529–539MATH Torra V (2010) Hesitant fuzzy sets. Int J Intell Syst 25(6):529–539MATH
Zurück zum Zitat Van Laarhoven PJ, Pedrycz W (1983) A fuzzy extension of Saaty’s priority theory. Fuzzy Sets Syst 11(1–3):229–241MathSciNetMATH Van Laarhoven PJ, Pedrycz W (1983) A fuzzy extension of Saaty’s priority theory. Fuzzy Sets Syst 11(1–3):229–241MathSciNetMATH
Zurück zum Zitat Wan SP, Wang F, Lin LL, Dong JY (2016) Some new generalized aggregation operators for triangular intuitionistic fuzzy numbers and application to multi-attribute group decision making. Comput Ind Eng 93:286–301 Wan SP, Wang F, Lin LL, Dong JY (2016) Some new generalized aggregation operators for triangular intuitionistic fuzzy numbers and application to multi-attribute group decision making. Comput Ind Eng 93:286–301
Zurück zum Zitat Wang H, Xu Z (2016) Total orders of extended hesitant fuzzy linguistic term sets: definitions, generations and applications. Knowl Based Syst 107:142–154 Wang H, Xu Z (2016) Total orders of extended hesitant fuzzy linguistic term sets: definitions, generations and applications. Knowl Based Syst 107:142–154
Zurück zum Zitat Wu J, Huang HB, Cao QW (2013) Research on AHP with interval-valued intuitionistic fuzzy sets and its application in multi-criteria decision making problems. Appl Math Model 37(24):9898–9906MathSciNetMATH Wu J, Huang HB, Cao QW (2013) Research on AHP with interval-valued intuitionistic fuzzy sets and its application in multi-criteria decision making problems. Appl Math Model 37(24):9898–9906MathSciNetMATH
Zurück zum Zitat Yager RR (2013) Pythagorean fuzzy subsets. In 2013 Joint IFSA world congress and NAFIPS annual meeting (IFSA/NAFIPS). IEEE, pp 57–61 Yager RR (2013) Pythagorean fuzzy subsets. In 2013 Joint IFSA world congress and NAFIPS annual meeting (IFSA/NAFIPS). IEEE, pp 57–61
Zurück zum Zitat Zadeh LA (1975) The concept of a linguistic variable and its applications to approximate reasoning. Part I. Inf Sci 8:199–249MATH Zadeh LA (1975) The concept of a linguistic variable and its applications to approximate reasoning. Part I. Inf Sci 8:199–249MATH
Zurück zum Zitat Zeng J, An M, Smith NJ (2007) Application of a fuzzy based decision making methodology to construction project risk assessment. Int J Project Manag 25(6):589–600 Zeng J, An M, Smith NJ (2007) Application of a fuzzy based decision making methodology to construction project risk assessment. Int J Project Manag 25(6):589–600
Metadaten
Titel
A novel spherical fuzzy analytic hierarchy process and its renewable energy application
verfasst von
Fatma Kutlu Gündoğdu
Cengiz Kahraman
Publikationsdatum
19.07.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 6/2020
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-019-04222-w

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