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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.2017018981
pages 117-133

DISTANCE AND SIMILARITY MEASURES FOR INTUITIONISTIC MULTIPLICATIVE PREFERENCE RELATION AND ITS APPLICATIONS

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

ABSTRACT

The objective of this work is to present some series of distance measures under the intuitionistic multiplicative preference relation (IMPR), instead of intuitionistic fuzzy preference relation (IFPR), for measuring the relationship between the two different intuitionistic multiplicative sets (IMSs). As IFPR deals under the conditions that the attribute values grades are symmetrical and uniformly distributed, in this manuscript, this assumption has been relaxed by distributing the attribute grades to be asymmetrical around 1 and hence based on it, a family of distance measures between the two or more IMSs has been proposed. Some of its desirable properties have also been investigated in detail. Based on these measures, a group decision-making method has been presented for ranking the alternatives. The method is illustrated by two numerical examples in pattern recognition and medical diagnosis.