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Interval-Valued Neutrosophic Numbers with WASPAS

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Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 369))

Abstract

Neutrosophy is a branch of philosophy which studies the origin, nature, and scope of neutralities. It forms the basis for neutrosophic numbers and neutrosophic logic. Neutrosophic numbers generalize neutrosophic sets; hence, these numbers are widely used to deal with situations involving neutralities. Triangular and trapezoidal numbers are often used to simplify computation and to obtain results which are easily interpreted and implemented. In this chapter, Interval-Valued Trapezoidal Neutrosophic Numbers (IVTpNN) are introduced for Weighted Aggregated Sum Product Assessment (WASPAS) . Further, a simple case of classification of athletes in Paralympics is represented. The weights of criteria are represented using interval-valued trapezoidal neutrosophic numbers and the ranking of the best sport class is obtained using WASPAS-IVTpNN.

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References

  1. Aiwu, Z., Jianguo, D., Hongjun, G.: Interval-valued neutrosophic sets and multi-attribute decision-making based on generalized weighted aggregation operator. J. Intell. Fuzzy Syst. 29, 2697–2706 (2015)

    Article  Google Scholar 

  2. Ansari, A.Q., Biswas, R., Aggarwal, S.: Neutrosophic classifier: an extension of fuzzy classifier. Appl. Soft Comput. 13, 563–573 (2013)

    Article  Google Scholar 

  3. Atanassov, K.T.: Intuitionistic Fuzzy Sets. Physica-Verlag A Springer-Verlag Company, New York (1999)

    Book  Google Scholar 

  4. Bausys, R., Juodagalviene, B.: Garage location selection for residential house by WASPAS- SVNS method. J. Civil Eng. Manage. 23(3), 421–429 (2017)

    Article  Google Scholar 

  5. Ceballos, B., Lamata, M.T., Pelta, D.A.: Fuzzy multicriteria decision-making methods: a comparative analysis. Int. J. Intell. Syst. 00, 1–17 (2016)

    Google Scholar 

  6. Chakraborty, S., Zavadskas, E.K.: Applications of WASPAS method in manufacturing decision making. Informatica 25, 1–20 (2014)

    Article  Google Scholar 

  7. Ghorabee, M.K., Zavadskas, E.K., Amiri, M., Esmaeili, A.: Multicriteria evaluation of green suppliers using and extended WASPAS method with interval type-2 fuzzy sets. J. Clean. Prod. 137, 213–229 (2015)

    Article  Google Scholar 

  8. Ighravwe, D.E., Oke, S.A.: A fuzzy grey weighted aggregate sum product assessment methodical approach for multi-criteria analysis of maintenance performance systems. Int. J. Syst. Assur. Eng. Manage. (2016). https://doi.org/10.1007/s13198-016-0554-8

    Article  Google Scholar 

  9. Karabasevic, D., Stanujkic, D., Urosevic, S., Maksimovic, M.: An approach to personnel selection based on SWARA and WASPAS methods. J. Econ. Manage. Inf. 7, 1–11 (2016)

    Google Scholar 

  10. Karande, P., Zavadskas, E.K., Chakraborty, S.: A study of ranking performance of some MCDM methods for industrial robot selection problems. Int. J. Ind. Eng. Comput. 7, 399–422 (2016)

    Google Scholar 

  11. Keogh, J.W.L.: Paralympic Sport-an emerging area for research and consultancy in sports biomechanics. Sports Biomech. 10, 234–253 (2010)

    Article  Google Scholar 

  12. Madic, M., Gecevska, V., Radovanovic, M., Petkovic, D.: Multicriteria economic analysis of machining processes using WASPAS method. J. Prod. Eng. 17, 79–82

    Google Scholar 

  13. Mardani, A., Jusoh, A., Nor, K., Khalifah, Z., Zakwan, N., Valipour, A.: Multiple criteria decision-making techniques and their applications-a review of the literature from 2000 to 2014. Econ. Res. 28, 516–571 (2015)

    Google Scholar 

  14. Nie, R., Wang, J., Zhang, H.: Solving solar-wind power station location problem using an extended WASPAS technique with interval neutrosophic sets, Symmetry, 20 pages (2017)

    Google Scholar 

  15. Petkovic, D., Madic, M., Radenkovic, G.: Selection of the most suitable non-conventional machining processes for ceramics machining by using MCDMs. Sci. Sinter. 47, 229–235 (2015)

    Article  Google Scholar 

  16. Smarandache, F.: Neutrosophic set—a generalization of the intuitionistic fuzzy set. In: Proceedings of the First International Conference on Neutrosophic Logic. The University of NewMexico (2001)

    Google Scholar 

  17. Smarandache, F.: Neutrosophic set, a generalization of the intuitionistic fuzzy sets. Int. J. Pure Appl. Math. 24, 287–297 (2005)

    MathSciNet  MATH  Google Scholar 

  18. Turskis, Z., Zavadaskas, E.K., Antucheviciene, J., Kosareva, N.: A hybrid model based on fuzzy AHP and fuzzy WASPAS for construction site selection. Int. J. Comput. Commun. Control 10, 873–888 (2015)

    Article  Google Scholar 

  19. Thomas, N., Smith, A.: Preoccupied with able-bodiedness? an analysis of the british media coverage of the 2000 paralympics games. Human Kinet. J. 20, 166–181 (2003)

    Google Scholar 

  20. Tweedy, S.M., Beckman, E.M., Connick, M.J.: Paralympic classification: conceptual basis, current methods, and research update. PM\&R. 6, S11–S17 (2014)

    Article  Google Scholar 

  21. Wang, H., Smarandache, F., Zhang, Y.Q., Sunderraman, R.: Interval Neutrosophic Sets and Logic: Theory and Applications in Computing. Hexis, Phoenix, AZ (2005)

    Google Scholar 

  22. Wang, H., Smarandache, F.Y., Zhang, Q., Sunderraman, R.: Single valued neutrosophic sets. Multispace Multistructure 4, 410–413 (2010)

    MATH  Google Scholar 

  23. Zavadskas, E.K., Turskis, Z., Antucheviciene, J.: Optimization of weighted aggregated sum and product. Electron. Electr. Eng. 122, 3–6 (2012)

    Google Scholar 

  24. Zavadskas, E.K., Antucheviciene, J., Hajiagha, S.H.R., Hashemi, S.S.: Extension of weighted aggregated sum product assessment with interval-valued intuitionistic fuzzy numbers. Appl. Soft Comput. 24, 1013–1021 (2014)

    Article  Google Scholar 

  25. Zavadskas, E.K., Turskis, Z., Antucheviciene, J.: Selecting a contractor by using a novel method for multiple attribute analysis: weighted aggregated sum product assessment with grey values. Stud. Inf. Control. 24 (2015)

    Google Scholar 

  26. Zavadskas, E.K., Bausys, R., Lazauskas, M.: Sustainable assessment of alternative sites for the construction of a waste incineration plant by applying WASPAS method with single-valued neutrosophic set. Sustainability 7, 15923–15936 (2015)

    Article  Google Scholar 

  27. Zavadskas, E.K., Bausys, R., Stanujkic, D., Kalinovic, M.M.: Selection of lead-zinc flotation circuit design by applying waspas method with single-valued neutrosophic set. Acta Montanistica Slovaca 21, 85–92 (2016)

    Google Scholar 

  28. Zavadskas, E.K., Antucheviciene, J., Saparauskas, J., Turskis, Z.: MCDM Methods WASPAS and multimoora: verification of robustness of methods when assessing alternative solutions. Econ. Comput. Econ. Cybern. Stud. Res. Acad. Econ. Stud. 47 (2016)

    Google Scholar 

  29. Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)

    Article  Google Scholar 

  30. Zhang, H., Wang, J., Chen, X.: Interval neutrosophic sets and their application in multi-criteria decision-making problems. Sci. World J. 2014, 1–15 (2014)

    Google Scholar 

  31. Zolfani, S.H., Aghdaie, M.H., Derakti, A., Zavadskas, E.K., Varzandeh, M.H.M.: Decision making on business issues with foresight perspective; an application of new hybrid MCDM model in shopping mall locating. Expert Syst. Appl. 40, 7111–7121 (2013)

    Article  Google Scholar 

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Acknowledgements

The authors express their gratitude to the anonymous reviewer for his/her valuable suggestions in improving the presentation of the chapter.

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Authors and Affiliations

  1. Department of Mathematics, Hindustan Institute of Technology & Science, Chennai, 603103, India

    M. Clement Joe Anand & Janani Bharatraj

Authors
  1. M. Clement Joe Anand
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  2. Janani Bharatraj
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Correspondence to M. Clement Joe Anand .

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Editors and Affiliations

  1. Department of Industrial Engineering, Istanbul Technical University, Macka, Istanbul, Turkey

    Cengiz Kahraman

  2. Department of Industrial Engineering, Istanbul Okan University, Akfirat-Tuzla, Istanbul, Turkey

    İrem Otay

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Anand, M.C.J., Bharatraj, J. (2019). Interval-Valued Neutrosophic Numbers with WASPAS. In: Kahraman, C., Otay, İ. (eds) Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Studies in Fuzziness and Soft Computing, vol 369. Springer, Cham. https://doi.org/10.1007/978-3-030-00045-5_17

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