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Parameter trees based on soft set theory and their similarity measures

  • Fuzzy systems and their mathematics
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Abstract

Soft set theory is an important tool for dealing with problems involving uncertainty. In a soft set, parameter set is a classical set. In this study, we introduce parameter trees by using mappings from parameter set into power set of parameter set and investigate some properties of them. We also define operations between two parameter trees and obtain some of their properties. Furthermore we give a similarity measure method between parameter trees.

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Funding

There is no financial support for the study.

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Authors and Affiliations

  1. Faculty of Science, Department of Mathematics, Cankiri Karatekin University, 18100, Cankiri, Turkey

    Faruk Karaaslan

  2. Faculty of Arts and Sciences, Department of Mathematics, Gaziosmanpaşa University, 60250, Tokat, Turkey

    Naim Çağman

Authors
  1. Faruk Karaaslan
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  2. Naim Çağman
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Contributions

F. Karaaslan developed the theoretical formalism and gave the examples. Both F. Karaaslan and N. Çağman contributed to the final version of the manuscript. N. Çağman supervised the manuscript.

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Correspondence to Faruk Karaaslan.

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Karaaslan, F., Çağman, N. Parameter trees based on soft set theory and their similarity measures. Soft Comput 26, 4629–4639 (2022). https://doi.org/10.1007/s00500-022-06932-0

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  • DOI: https://doi.org/10.1007/s00500-022-06932-0

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