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International Journal for Uncertainty Quantification

Impact factor: 1.000

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2017019801
Forthcoming Article

Distance and similarity measures for dual hesitant fuzzy soft sets and their applications in multi-criteria decision making problem

Harish Garg
Thapar University Patiala
Rishu Arora
Thapar University Patiala

ABSTRACT

Dual hesitant fuzzy set is one of the successful extension of the fuzzy set in which elements are represented in terms of a set of possible values instead of a single number. However, their theory is restricted to their parameterized tool and hence it can't be effectively applied to a real-life problem. In order to handle it, dual hesitant fuzzy soft set theory has been utilized in this manuscript and hence based on it, some axioms of distance and similarity measures based on Hamming, Euclidean and Hausdorff metric have been proposed here. Various desirable relation between them have also been presented. The proposed distance measures are applied to the field of decision-making under dual hesitant fuzzy soft set environment. Finally, practical examples of pattern recognition and medical diagnoses are given to demonstrate the effectiveness of the proposed measures. A comparative study as well as advantages of the proposed distance measures over existing measures have been presented.