Novel Development to the Theory of Dombi Exponential Aggregation Operators in Neutrosophic Cubic Hesitant Fuzzy Sets: Applications to Solid Waste Disposal Site Selection

Author:

Rehman Ateeq Ur1,Gulistan Muhammad1ORCID,Kausar Nasreen2ORCID,Kousar Sajida3,Al-Shamiri Mohammed M.45ORCID,Ismail Rashad45ORCID

Affiliation:

1. Department of Mathematics and Statistics, Hazara University, Mansehra 21130, Pakistan

2. Department of Mathematics, Faculty of Arts and Sciences, Yildiz Technical University, Esenler 34210, Istanbul, Turkey

3. Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

4. Department of Mathematics, Faculty of Science and Arts, Muhayl, Asser, King Khalid University, Saudi Arabia

5. Department of Mathematics and Computer, Faculty of Science, IBB University, IBB, Yemen

Abstract

The neutrosophic cubic hesitant fuzzy set can efficiently handle the complex information in a decision-making problem because it combines the advantages of the neutrosophic cubic set and the hesitant fuzzy set. The algebraic operations based on Dombi norms and co-norms are more flexible than the usual algebraic operations as they involve an operational parameter. First, this paper establishes Dombi algebraic operational laws, score functions, and similarity measures in neutrosophic cubic hesitant fuzzy sets. Then, we proposed Dombi exponential operational laws in which the exponents are neutrosophic cubic hesitant fuzzy values and bases are positive real numbers. To use neutrosophic cubic hesitant fuzzy sets in decision-making, we are developing Dombi exponential aggregation operators in the current study. In the end, we present applications of exponential aggregation operators in multiattribute decision-making problems.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

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