Similarity Measures on Interval-Complex Neutrosophic Soft Sets with Applications to Decision Making and Medical Diagnosis under Uncertainty

Authors

  • Faisal Al-Sharqi Department of Mathematical Sciences, Faculty of Science and Technology Universiti Kebangsaan Malaysia
  • Abd Ghafur Ahmad Department of Mathematical Sciences, Faculty of Science and Technology Universiti Kebangsaan Malaysia
  • Ashraf Al-Quran 2Preparatory Year Deanship, King Faisal University, Hofuf 31982, Al- Ahsa, Saudi Arabia

Keywords:

similarity measure, decision making, interval complex neutrosophic soft set, distance measure

Abstract

The idea of an interval complex neutrosophic soft set (I-CNSS) emerges from the interval neutrosophic soft set (I-NSS) by the extension of its three membership functions (T, I, F) from real space to complex space (unit disc) to better handle uncertainties, vagueness, indeterminacy, and imprecision of information in the periodic nature. The novelty of I-CNSS lies in its more significant range of activity compared to CNS. Measures of similarity and distance are important tools that can be used to solve many problems in real life. Hence, this paper presents some interval complex neutrosophic soft similarities based on Hamming and Euclidean distances of I-CNSSs to deal with real-life problems that include uncertain information such as decision-making issues
and medical diagnosis stats. Firstly, this paper reviews the definition of an interval complex neutrosophic soft set. Secondly, we defined distance Hamming measures and distance Euclidean measures on I-CNSSs . Next, the axiomatic definition of similarity measures based on Hamming and Euclidean distances of I-CNSSs is proposed. Moreover, a numerical example is given and relations between these measures are introduced and verified. Meanwhile, some applications are given to show how similarity can be used to help the user in making decisions and making medical diagnoses. Finally, a comparison of some current approaches is used to back up this study.

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Published

2022-08-01

Issue

Section

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

How to Cite

Al-Sharqi, F. ., Ahmad, A. G. ., & Al-Quran, A. . (2022). Similarity Measures on Interval-Complex Neutrosophic Soft Sets with Applications to Decision Making and Medical Diagnosis under Uncertainty. Neutrosophic Sets and Systems, 51, 495-515. https://fs.unm.edu/nss8/index.php/111/article/view/2581