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Mappings on classes of expert complex fuzzy soft sets

  • Ganeshsree SelvachandranEmail author
  • Nisren A. Hafeed
  • Abdul Razak Salleh
  • P. K. Maji
Article
  • 6 Downloads

Abstract

In this paper, the authors propose the concept of expert complex fuzzy soft sets as an extension to the classical complex fuzzy set model. Instead of being concerned with the study of the basic set theoretic operations for this model, which are essentially generalizations of the corresponding operations of the complex fuzzy set model, we extend the study of this model through the establishment of the mappings on classes of expert complex fuzzy soft sets. Through these mappings, we introduce the image and inverse image of an expert complex fuzzy soft set, which have immense applications in real-life applications. In addition to presenting the properties of the images and inverse images of this model, we present two numerical examples to demonstrate the utility of these concepts.

Keywords

Complex fuzzy set Interval-valued complex fuzzy set Fuzzy set Image Pre-image 

Mathematics Subject Classification

08A72 08A99 

Notes

Acknowledgements

The authors would like to gratefully acknowledge the financial assistance received from the Ministry of Education, Malaysia under Grant No. FRGS/1/2017/STG06/UCSI/03/1.

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Copyright information

© African Mathematical Union and Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Actuarial Science and Applied Statistics, Faculty of Business and Information ScienceUCSI UniversityCheras, Kuala LumpurMalaysia
  2. 2.School of Mathematical Sciences, Faculty of Science and TechnologyUniversiti Kebangsaan MalaysiaUKM Bangi, SelangorMalaysia
  3. 3.Department of MathematicsB.C. CollegeAsansolIndia

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