Convexity cum concavity on refined fuzzy set with some properties

Authors

  • Muhammad Arshad Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan.
  • Muhammad Saeed Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan.
  • Atiqe Ur Rahman * Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan. https://orcid.org/0000-0001-6320-9221

https://doi.org/10.48313/uda.v1i1.34

Abstract

Smarandache refined fuzzy sets to handle an object's sub-membership degrees. Applications for fuzzy convexity are numerous and include pattern recognition, optimization, and related issues. By taking into account a more precise definition of fuzzy sets, these applications can be handled more effectively. This paper uses theoretical and analytical techniques to construct the novel idea of convexity cum concavity on refined fuzzy sets. The convex (concave) fuzzy sets proposed by Zadeh [1], [2] and Chaudhuri [3], [4] are extended in this work. Some of its significant findings are also generalizable.

Keywords:

Refined fuzzy set‎, Concave refined fuzzy set, Convex refined fuzzy set, Ortho-concave refined fuzzy set, Ortho-convex refined fuzzy set

References

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Published

2024-06-29

Issue

Vol. 1 No. 1 (2024): Uncertainty Discourse and Applications

Section

Articles

How to Cite

Arshad, M. ., Saeed, M. ., & Ur Rahman, A. . (2024). Convexity cum concavity on refined fuzzy set with some properties. Uncertainty Discourse and Applications, 1(1), 140-150. https://doi.org/10.48313/uda.v1i1.34

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