Neutrosophic Overlap Function and Its Derived Neutrosophic Residual Implication

Authors

  • Xingna Zhang School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi'an 710021, China
  • Qingqing Hu School of Electrical and Control Engineering, Shaanxi University of Science & Technology, Xi'an 710021, China
  • Xiaohong Zhang School of Mathematics and Data Science, Shaanxi University of Science & Technology, Xi'an 710021, Chin

Keywords:

neutrosophic overlap function; lattice; representable neutrosophic overlap function; neutrosophic residual implication

Abstract

A new concept of neutrosophic overlap function is given, furthermore a neutrosophic
residual implication derived from it is also introduced. Firstly, we give new concept of
neutrosophic overlap function and some classical examples which are introduced on the lattice.
Secondly, the concept of representable neutrosophic overlap function and its pertinent examples
are given, meanwhile the general method of constructing representable neutrosophic overlap
function by using intuitionistic overlap function is given. Finally, neutrosophic residual implication
induced by neutrosophic overlap function and its basic properties are studied.

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Published

2023-07-01

Issue

Vol. 56 (2023): Neutrosophic Sets and Systems

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

 Creative Commons Attribution (CC BY) license.

How to Cite

Xingna Zhang, Qingqing Hu, & Xiaohong Zhang. (2023). Neutrosophic Overlap Function and Its Derived Neutrosophic Residual Implication. Neutrosophic Sets and Systems, 56, 5-19. http://fs.unm.edu/nss8/index.php/111/article/view/3145