International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Fuzzy Multi-Criteria Decision Making Algorithm under Intuitionistic Hesitant Fuzzy Set with Novel Distance Measure

Rupjit Saikia
Department of Mathematics, Rajiv Gandhi Institute of Petroleum Technology, Sivasagar- 785697, India.

Harish Garg
School of Mathematics, Thapar Institute of Engineering and Technology (Deemed University), Patiala, India.

Palash Dutta
Department of Mathematics, Dibrugarh University, Dibrugarh-786004, India.


Received on August 15, 2019
Accepted on January 19, 2020


Decision making under uncertainty is a crucial issue and most demanding area of research now a days. Intuitionistic hesitant fuzzy set plays important role in dealing with the circumstances in which decision makers judge an alternative with a collection membership grades and a collection of non-membership grades. This paper contributes a novel and advanced distance measure between Intuitionistic Hesitant fuzzy sets (IHFSs). A comparative analysis of the present distance measure with existing measures is performed first. Afterwards, a case study is carried in multi-criteria decision making problem to exhibit the applicability and rationality of the proposed distance measure. The advantage of the proposed distance measure over the existing distance measures is that in case of deficit number of elements in IHFs, a decision maker can evaluate distance measure without adding extra elements to make them equivalent and furthermore, it works in successfully in all the situations.

Keywords- Hesitant fuzzy set, Intuitionistic fuzzy set, Intuitionistic hesitant fuzzy set, Fuzzy multi criteria decision making.


Saikia, R., Garg, H., & Dutta, P. (2020). Fuzzy Multi-Criteria Decision Making Algorithm under Intuitionistic Hesitant Fuzzy Set with Novel Distance Measure. International Journal of Mathematical, Engineering and Management Sciences, 5(3), 473-487.

Conflict of Interest

The authors confirm that there is no conflict of interest to declare for this publication.


The authors would like to express their sincere thanks to the editor and anonymous reviews for their time and valuable suggestions.


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