A q-rung orthopair basic probability assignment and its application in medical diagnosis

  • Bulendra Limboo Department of Mathematics, Dibrugarh University, Assam, India
  • Palash Dutta Department of Mathematics, Dibrugarh University, Assam, India
Keywords: Fuzzy soft set, q-rung belief function, Association coefficient, Medical diagnosis

Abstract

Dempster-Shafer theory is widely used in decision-making and considered as one of the potential mathematical tools in order to fuse the evidence. However, existing studies in this theory show disadvantage due to conflicting nature of standard evidence set and the combination rule of evidence. In this paper, we have constructed the framework of q-rung evidence set to address the issue of conflicts based on the q-rung fuzzy number due to its more comprehensive range of advantage compared to the other fuzzy or discrete numbers. The proposed q-rung evidence set has the flexibility in assessing a parameter through the q-rung orthopair basic probability assignment consisting of membership and non-membership belief degree. Moreover, as the proposed q-rung orthopair basic probability assignment consists of pair of belief degrees, the possibility of conflicts cannot be ignored entirely. In this regard, a new association coefficient measure is introduced where each component of the belief degrees is modified through the weighted average mass technique. This paper uses various concept such as fuzzy soft sets, Deng entropy, association coefficient measure and score function for decision-making problem. Firstly, to obtain the initial q-rung belief function, we have implemented the Intuitionistic fuzzy soft set to assess the parameter of the alternatives and Deng entropy to find the uncertainty of the parameters. Secondly, the association coefficient measure is used to avoid the conflict through the modified form of evidence. Finally, we combined the evidence and found the score value of the Intuitionistic fuzzy numbers for the ranking of the alternatives based on the score values of alternatives. This study is validated with the case study in the medical diagnosis problem from the existing paper and compared the ranking of alternatives based on the score function of belief measures of the alternatives.

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Author Biography

Palash Dutta, Department of Mathematics, Dibrugarh University, Assam, India

Dr. Palash Dutta is an Assistant professor in the Department of Mathematics, Dibrugah University. He has specialization in Fuzzy Set Theory and Evidence Theory based Uncertainty Modeling and Decision Making, Medical Diagnosis. He has published more than 80 research paper in reputed journal in his field.

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Published
2021-12-20
How to Cite
Limboo, B., & Dutta, P. (2021). A q-rung orthopair basic probability assignment and its application in medical diagnosis. Decision Making: Applications in Management and Engineering. https://doi.org/10.31181/dmame191221060l
Section
Regular articles