Abstract
The purpose of this paper is to combine the work of interval-valued fuzzy sets and fuzzy soft expert sets, from which we can obtain a new concept: interval-valued generalised fuzzy soft expert sets. We also introduce some of its operations: complement, union, intersection and study their properties. Then, we use interval-valued generalised fuzzy soft expert sets to analyze a decision-making problem.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Molodtsov, D.: Soft set theory-first results. Comput. Math. Appl. 37, 19–31 (1999)
Maji, P.K., Biswas, R., Roy, A.R.: Soft set theory. Comput. Math. Appl. 45(4–5), 555–562 (2003)
Mustafa, H.I.: Soft rough approximation operators on a complete atomic boolean lattice. Math. Probl. Eng 2013, 11 (2013). Article ID 486321
Jun, Y.B., Park, C.H.: Applications of soft sets in ideal theory of BCK/BC Ialgebras. Inf. Sci. 178, 2466–2475 (2008)
Shabir, M., Naz, M.: On soft topological spaces. Comput. Math. Appl. 61, 1786–1799 (2011)
Gunduz, C., Bayramov (Aras), S.: Some results on fuzzy soft topological spaces. Math. Probl. Eng. 2013, 10 (2013). Article ID 835308
Chen, B.: Soft semi-open sets and related properties in soft topological spaces. Appl. Math. Inf. Sci. 7(1), 287–294 (2013)
Chen, B.: Some local properties of soft semi-open sets. Discrete Dyn. Nat. Soc. (2013). Article ID 298032
Maji, P.K., Roy, A.R., Biswas, R.: An application of soft sets in a decision making problem. Comput. Math. Appl. 44, 1077–1083 (2002)
Chen, D., Tsang, E.C.C., Yeung, D.S., Wang, X.: The parameterization reduction of soft sets and its applications. Comput. Math. Appl. 49, 757–763 (2005)
Roy, A.R., Maji, P.K.: A fuzzy soft set theoretic approach to decision making problems. J. Comput. Appl. Math. 203, 412–418 (2007)
Zou, Y., Xiao, Z.: Data analysis approaches of soft sets under incomplete information. Knowl. Based Syst. 21, 941–945 (2008)
Kong, Z., Gao, L., Wang, L., Li, S.: The normal parameter reduction of soft sets and its algorithm. Comput. Math. Appl. 56, 3029–3037 (2008)
Yang, X., Lin, T.Y., Yang, J., Li, Y., Yu, D.: Combination of interval-valued fuzzy set and soft set. Comput. Math. Appl. 58(3), 521–527 (2009)
Majumdar, P., Samanta, S.K.: Generalised fuzzy soft sets. Comput. Math. Appl. 59(4), 1425–1432 (2010)
Alkhazaleh, S., Salleh, A.R.: Soft expert sets. Adv. Decis. Sci. 2011, 12 (2011). Article ID 757868
Alkhazaleh, S., Salleh, A.R.: Fuzzy soft expert sets. Ph.D. thesis, Faculty of Science and Technology, University Kebangsaan Malaysia, Selangor, Malaysia
Maji, P.K., Biswas, R., Roy, A.R.: Fuzzy soft sets. J. Fuzzy Math. 9, 589–602 (2001)
Gorzalczany, M.B.: A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets Syst. 21(1), 1–17 (1987)
Schweizer, B., Sklar, A.: Statistical metric space. Pac. J. Mathh. 10, 314–334 (1960)
Kalaiselvi, N., Hannah Inbarani, H.: Fuzzy soft set based classification for gene expression data. http://arxiv.org/abs/1301.1502
Handaga, B., Mat, M.: Similarity approach on fuzzy soft set based numerical data classification. In: ICSECS, Part II, CCIS, vol. 180, pp. 575–589 (2011)
Acknowledgment
This paper is supported by the Project of Shandong Province Higher Educational Science and Technology Program 2016(J16LI08).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Bin, C. (2020). Interval Valued Generalised Fuzzy Soft Expert Set and Its Application. In: Liu, Y., Wang, L., Zhao, L., Yu, Z. (eds) Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery. ICNC-FSKD 2019. Advances in Intelligent Systems and Computing, vol 1074. Springer, Cham. https://doi.org/10.1007/978-3-030-32456-8_106
Download citation
DOI: https://doi.org/10.1007/978-3-030-32456-8_106
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-32455-1
Online ISBN: 978-3-030-32456-8
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)