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Type-2 Fuzzy Soft Sets and Their Applications in Decision Making

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  • Zhiming Zhang
  • Shouhua Zhang

Abstract

Molodtsov introduced the theory of soft sets, which can be used as a general mathematical tool for dealing with uncertainty. This paper aims to introduce the concept of the type-2 fuzzy soft set by integrating the type-2 fuzzy set theory and the soft set theory. Some operations on the type-2 fuzzy soft sets are given. Furthermore, we investigate the decision making based on type-2 fuzzy soft sets. By means of level soft sets, we propose an adjustable approach to type-2 fuzzy-soft-set based decision making and give some illustrative examples. Moreover, we also introduce the weighted type-2 fuzzy soft set and examine its application to decision making.

Suggested Citation

  • Zhiming Zhang & Shouhua Zhang, 2012. "Type-2 Fuzzy Soft Sets and Their Applications in Decision Making," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-35, December.
    • Handle: RePEc:hin:jnljam:608681
    DOI: 10.1155/2012/608681
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    Cited by:

    1. Xi Chen & Pooja Yadav & Rashmi Singh & Sardar M. N. Islam, 2023. "ES Structure Based on Soft J-Subset," Mathematics, MDPI, vol. 11(4), pages 1-9, February.

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