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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.2017020356
pages 423-439

DISTANCE MEASURES BETWEEN THE COMPLEX INTUITIONISTIC FUZZY SETS AND THEIR APPLICATIONS TO THE DECISION-MAKING PROCESS

Dimple Rani
School of Mathematics, Thapar University, Patiala 147004, Punjab, India
Harish Garg
School of Mathematics, Thapar University Patiala 147004, Punjab, India

ABSTRACT

The complex intuitionistic fuzzy set (CIFS) is one of the extensions of the intuitionistic fuzzy set in which the range of the membership function is extended from the subset of the real number to the unit disc. In this environment, the main objective of the present work is to develop some series of distance measures by using Hamming, Euclidean, and Hausdorff metrics. Based on these measures, various desirable relations have been studied in detail. Further, based on these distance measures, a decision-making method has been presented for finding the best alternative under the set of the feasible one. Illustrative examples from the field of pattern recognition as well as medical diagnosis have been taken to validate the approach.