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Bipolar fuzzy Dombi prioritized aggregation operators in multiple attribute decision making

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Abstract

In this article, used Dombi t-norm (TN) and t-conorm (TCN) which can generate more complex and more flexible operation rules by adjusting a parameter to combine with prioritized aggregation operators (AOs) in bipolar fuzzy (BF) environment. In this study, introduced bipolar fuzzy Dombi prioritized AOs, namely bipolar fuzzy Dombi prioritized averaging operator, bipolar fuzzy Dombi geometric operator, bipolar fuzzy Dombi prioritized weighted averaging operator and bipolar fuzzy Dombi prioritized weighted geometric operator as these operators along with proofs to aggregate various preferences of the decision makers. In this purpose, we designed a multiple attribute decision-making technique for the proposed study. Finally, an illustrative example is given to demonstrate proposed approach under BF environment and a sensitivity analysis is considered for the working parameter on the ordering of the alternatives. A comparative study is provided for the choice best decision of the proposed approach with the existing problems. Finally, it is concluded that the proposed approach gives a more practical nature to aggregate the information process during the data analysis, and hence they take an alternative way for solving decision-making problems.

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References

  • Atanassov KT (1999) On intuitionistic fuzzy sets theory. Studies in fuzziness and soft computing, vol 283. Springer, Berlin

    Google Scholar 

  • Beliakov G, Bustince H, Goswami DP, Mukherjee UK, Pal NR (2011) On averaging operators for Atanassov’s intuitionistic fuzzy sets. Inf Sci 181:1116–1124

    MathSciNet  MATH  Google Scholar 

  • Chen SM, Chiou CH (2015) Multiattribute decision making based on interval-valued intuitionistic fuzzy sets, PSO techniques, and evidential reasoning methodology. IEEE Trans Fuzzy Syst 23(6):1905–1916

    Google Scholar 

  • Chen SM, Tan JM (1994) Handling multicriteria fuzzy decision-making problems based on vague set theory. Fuzzy Sets Syst 67:163–172

    MathSciNet  MATH  Google Scholar 

  • Chen J, Ye J (2017) Some single-valued neutrosophic Dombi weighted aggregation operators for multiple attribute decision-making. Symmetry 9(82):1–11

    Google Scholar 

  • Deng W, Zhao HM, Yang XH, Xiong JX, Sun M, Li B (2017a) Study on an improved adaptive PSO algorithm for solving multi-objective gate assignment. Appl Soft Comput 59:288–302

    Google Scholar 

  • Deng W, Zhao HM, Zou L, Li GY, Yang XH, Wu DQ (2017b) A novel collaborative optimization algorithm in solving complex optimization problems. Soft Comput 21(15):4387–4398

    Google Scholar 

  • Deng W, Yao R, Zhao HM, Yang XH, Li GY (2017c) A novel intelligent diagnosis method using optimal LS-SVM with improved PSO algorithm. Soft Comput. https://doi.org/10.1007/s00500-017-2940-9

    Article  Google Scholar 

  • Deng W, Zhang SJ, Zhao HM, Yang XH (2018) A novel fault diagnosis method based on integrating empirical wavelet transform and fuzzy entropy for motor bearing. IEEE Access 6(1):35042–35056

    Google Scholar 

  • Deng W, Xu JJ, Zhao HM (2019) An improved ant colony optimization algorithm based on hybrid strategies for scheduling problem. IEEE Access. https://doi.org/10.1109/ACCESS.2019.2897580

    Article  Google Scholar 

  • Dombi J (1982) A general class of fuzzy operators, the demorgan class of fuzzy operators and fuzziness measures induced by fuzzy operators. Fuzzy Sets Syst 8:149–163

    MATH  Google Scholar 

  • Fink G, Yolles M (2015) Collective emotion regulation in an organization—a plural agency with cognition and affect. J Organ Change Manag 28(5):832–871

    Google Scholar 

  • Gao H, Wei GW, Huang YH (2018) Dual hesitant bipolar fuzzy Hamacher prioritized aggregation operators in multiple attribute decision making. IEEE Access 6(1):11508–11522

    Google Scholar 

  • Garg H (2016) A new generalized improved score function of interval-valued intuitionistic fuzzy sets and applications in expert systems. Appl Soft Comput 38:988–999

    Google Scholar 

  • Gul Z (2015) Some bipolar fuzzy aggregations operators and their applications in multicriteria group decision making. M.Phil. Thesis

  • Han Y, Shi P, Chen S (2015) Bipolar-valued rough fuzzy set and its applications to decision information system. IEEE Trans Fuzzy Syst 23(6):2358–2370

    Google Scholar 

  • He X (2018) Typhoon disaster assessment based on Dombi hesitant fuzzy information aggregation operators. Nat Hazards 90(3):1153–1175

    Google Scholar 

  • He YD, He Z, Wang GD, Chen HY (2015a) Hesitant fuzzy power bonferroni means and their application to multiple attribute decision making. IEEE Trans Fuzzy Syst 23(5):1655–1668

    Google Scholar 

  • He YD, Chen HY, He Z, Zhou LG (2015b) Multi-attribute decision making based on neutral averaging operators for intuitionistic fuzzy information. Appl Soft Comput 27:64–76

    Google Scholar 

  • He YD, He Z, Zhou PP, Deng YJ (2016) Scaled prioritized geometric aggregation operators and their applications to decision making. Int J Uncertain Fuzziness Knowl Based Syst 24(1):13–46

    MathSciNet  MATH  Google Scholar 

  • Jana C, Pal M (2019a) Assessment of enterprise performance based on picture fuzzy Hamacher aggregation operators. Symmetry 11(1):75

    MATH  Google Scholar 

  • Jana C, Pal M (2019b) A robust single-valued neutrosophic soft aggregation operators in multi-criteria decision making. Symmetry 11(1):110

    Google Scholar 

  • Jana C, Pal M, Wang JQ (2018a) Bipolar fuzzy Dombi aggregation operators and its application in multiple attribute decision making process. J Ambient Intell Humaniz Comput. https://doi.org/10.1007/s12652-018-1076-9

    Google Scholar 

  • Jana C, Pal M, Karaaslan F, Wang JQ (2018b) Trapezoidal neutrosophic aggregation operators and its application in multiple attribute decision-making process. Sci Iran. https://doi.org/10.24200/sci.2018.51136.2024

    Google Scholar 

  • Jana C, Senapati T, Pal M, Yager RR (2019a) Picture fuzzy Dombi aggregation operators: application to MADM process. Appl Soft Comput 74:99–109

    Google Scholar 

  • Jana C, Senapati T, Pal M (2019b) Pythagorean fuzzy Dombi aggregation operators and its applications in multiple attribute decision-making. Int J Intell Syst. https://doi.org/10.1002/int.22125

    Article  Google Scholar 

  • Jin FF, Ni ZW, Chen HY (2016) Interval-valued hesitant fuzzy Einstein prioritized aggregation operators and their applications to multi-attribute group decision making. Soft Comput 20(5):1863–1878

    MATH  Google Scholar 

  • Kumar K, Garg H (2018) TOPSIS method based on the connection number of set pair analysis under interval-valued intuitionistic fuzzy set environment. Comput Appl Math 37(2):1319–1329

    MathSciNet  MATH  Google Scholar 

  • Li DF (2011) Closeness coefficient based nonlinear programming method for interval-valued intuitionistic fuzzy multiattribute decision making with incomplete preference information. Appl Soft Comput 11:3402–3418

    Google Scholar 

  • Li PP (2016) The global implications of the indigenous epistemological system from the east how to apply Yin-Yang balancing to paradox management. Cross Cult Strateg Manag 23(1):42–47

    Google Scholar 

  • Li DF, Ren HP (2015) Multi-attribute decision making method considering the amount and reliability of intuitionistic fuzzy information. J Intell Fuzzy Syst 28(4):1877–1883

    MathSciNet  Google Scholar 

  • Liu PD, Wang YM (2016) Interval neutrosophic prioritized OWA operator and its application to multiple attribute decision making. J Syst Sci Complex 29(3):681–697

    MATH  Google Scholar 

  • Liu J, Chen HY, Xu Q, Zhou LG, Tao Z (2016) Generalized ordered modular averaging operator and its application to group decision making. Fuzzy Sets Syst 299:1–25

    MathSciNet  MATH  Google Scholar 

  • Liu PD, Liu JL, Chen SM (2017) Some intuitionistic fuzzy Dombi Bonferroni mean operators and their application to multi-attribute group decision making. J Oper Res Soc. https://doi.org/10.1057/s41274-017-0190-y

    Article  Google Scholar 

  • Lourenzutti R, Krohling RA (2013) A study of TODIM in a intuitionistic fuzzy and random environment. Expert Syst Appl 40(16):6459–6468

    Google Scholar 

  • Lu M, Busemeyer JR (2014) Do traditional chinese theories of Yi Jing Yin-Yang and Chinese medicine go beyond western concepts of mind and matter. Mind Matter 12(1):37–59

    Google Scholar 

  • Samanta S, Pal M (2014) Some more results on bipolar fuzzy sets and bipolar fuzzy intersection graphs. J Fuzzy Math 22(2):253–262

    MATH  Google Scholar 

  • Singh PK, Kumar CA (2014) Bipolar fuzzy graph representation of concept lattice. Inf Sci 288:437–488

    MathSciNet  MATH  Google Scholar 

  • Wan SP, Li DF (2014) Atanassovs intuitionistic fuzzy programming method for heterogeneous multiattribute group decision making with atanassovs intuitionistic fuzzy truth degrees. IEEE Trans Fuzzy Syst 22(2):300–312

    MathSciNet  Google Scholar 

  • Wan SP, Li DF (2015) Fuzzy mathematical programming approach to heterogeneous multiattribute decision-making with interval-valued intuitionistic fuzzy truth degrees. Inf Sci 325:484–503

    MathSciNet  MATH  Google Scholar 

  • Wang L, Zhang HY, Wang JQ (2018) Frank Choquet Bonferroni mean operators of bipolar neutrosophic sets and their application to multi-criteria decision-making problems. Int J Fuzzy Syst 20(1):13–28

    MathSciNet  Google Scholar 

  • Wei GW (2012) Hesitant fuzzy prioritized operators and their application to multiple attribute group decision making. Knowl Based Syst 31:176–182

    Google Scholar 

  • Wei GW, Wei Y (2018) Some single-valued neutrosophic Dombi prioritized weighted aggregation operators in multiple attribute decision making. J Intell Fuzzy Syst 33(2):2001–2013

    Google Scholar 

  • Wei GW, Wang HJ, Lin R (2011) Application of correlation coefficient to interval-valued intuitionistic fuzzy multiple attribute decision-making with incomplete weight information. Knowl Inf Syst 26:337–349

    Google Scholar 

  • Wei GW, Alsaadi FE, Tasawar H, Alsaedi A (2017) Hesitant bipolar fuzzy aggregation operators in multiple attribute decision making. J Intell Fuzzy Syst 33(2):1119–1128

    MATH  Google Scholar 

  • Wei GW, Alsaadi FE, Tasawar H, Alsaedi A (2018) Bipolar fuzzy Hamacher aggregation operators in multiple attribute decision making. Int J Fuzzy Syst 20(1):1–12

    MathSciNet  MATH  Google Scholar 

  • Xu ZS (2007) Intuitionistic fuzzy aggregation operators. IEEE Trans Fuzzy Syst 15:1179–1187

    Google Scholar 

  • Xu ZS, Yager RR (2006) Some geometric aggregation operators based on intuitionistic fuzzy sets. Int J Gen Syst 35:417–433

    MathSciNet  MATH  Google Scholar 

  • Yager RR (1988) On ordered weighted avergaing aggregation operators in multi-criteria decision making. IEEE Trans Syst Man Cybern 18(1):183–190

    Google Scholar 

  • Yager RR (2008) Prioritized aggregation operators. Int J Approx Reason 48:263–274

    MathSciNet  MATH  Google Scholar 

  • Yager RR, Kacprzyk J (1997) The ordered weighted averaging operators: theory and applications. Kluwer, Boston

    MATH  Google Scholar 

  • Yang LH, Li SG, Yang WH, Lu Y (2013) Notes on bipolar fuzzy graphs. Inf Sci 242:113–121

    MathSciNet  MATH  Google Scholar 

  • Ye J (2009) Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment. Expert Syst Appl 36(2):899–6902

    Google Scholar 

  • Ye J (2014) Prioritized aggregation operators of trapezoidal intuitionistic fuzzy sets and their application to multicriteria decision-making. Neural Comput Appl 25(6):1447–1454

    Google Scholar 

  • Zadeh LA (1965) Fuzzy sets. Inf Control 8:338–353

    MATH  Google Scholar 

  • Zhang WR (1994) Bipolar fuzzy sets and relations: a computational frame work for cognitive modelling and multiagent decision analysis. In: Proceedings of IEEE conference, pp 305–309

  • Zhang WR (1998) Bipolar fuzzy sets. In: Proceedings of FUZZYIEEE, pp 835–840

  • Zhang WR (2013) Bipolar quantum logic gates and quantum cellular combinatorics a logical extension to quantum entanglement. J Quantum Inf Sci 3(2):93–105

    Google Scholar 

  • Zhang WR (2016) G-CPT symmetry of quantum emergence and submergence an information conservational multiagent cellular automata unification of CPT symmetry and CP violation for equilibrium-based many world causal analysis of quantum coherence and decoherence. J Quantum Inf Sci 6(2):62–97

    Google Scholar 

  • Zhang WR, Peace KE (2014) Causality is logically definable-toward an equilibrium-based computing paradigm of quantum agent and quantum intelligence. J Quantum Inf Sci 4:227–268

    Google Scholar 

  • Zhang WR, Zhang L (2004) Bipolar logic and bipolar fuzzy logic. Inf Sci 165(3–4):265–287

    MathSciNet  MATH  Google Scholar 

  • Zhang WR, Zhang HJ, Shi Y, Chen SS (2009) Bipolar linear algebra and YinYang N element cellular networks for equilibrium-based biosystem simulation and regulation. J Biol Syst 17(4):547–576

    MathSciNet  MATH  Google Scholar 

  • Zhang WR, Pandurangi KA, Peace KE, Zhang Y, Zhao Z (2011) Mental squares: a generic bipolar support vector machine for psychiatric disorder classification, diagnostic analysis and neurobiological data mining. Int J Data Min Bioinform 5(5):532–572

    Google Scholar 

  • Zhao XF, Lin R, Wei GW (2013) Fuzzy prioritized operators and their application to multiple attribute group decision making. Appl Math Model 37:4759–4770

    MathSciNet  MATH  Google Scholar 

  • Zhao HM, Sun M, Deng W, Yang XH (2017) A new feature extraction method based on EEMD and multi-scale fuzzy entropy for motor bearing. Entropy 19(1):14

    Google Scholar 

  • Zhao HM, Yao R, Xu L, Yuan Y, Li GY, Deng W (2018) Study on a novel fault damage degree identification method using high-order differential mathematical morphology gradient spectrum entropy. Entropy 20(9):682

    Google Scholar 

  • Zhou LY, Lin R, Zhao XF, Wei GW (2013) Uncertain linguistic prioritized aggregation operators and their application to multiple attribute group decision making. Int J Uncertain Fuzziness Knowl Based Syst 21(4):603–627

    MathSciNet  MATH  Google Scholar 

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Acknowledgements

We would like to thank the anonymous reviewers for their insightful and constructive comments and suggestions that have been helpful for providing a better version of the present work.

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Authors and Affiliations

  1. Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore, 721102, India

    Chiranjibe Jana & Madhumangal Pal

  2. School of Business, Central South University, Changsha, 410083, China

    Jian-qiang Wang

Authors
  1. Chiranjibe Jana
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  2. Madhumangal Pal
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  3. Jian-qiang Wang
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Correspondence to Chiranjibe Jana.

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Jana, C., Pal, M. & Wang, Jq. Bipolar fuzzy Dombi prioritized aggregation operators in multiple attribute decision making. Soft Comput 24, 3631–3646 (2020). https://doi.org/10.1007/s00500-019-04130-z

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