Mohd Shoaib Khan, Meenakshi Kaushal, Q. Danish Lohani

2022.3.30Journal of Inequalities and Special Functions

DOI: 10.54379/jiasf-2022-1-1

tlooto Summary

A novel intuitionistic fuzzy distance measure associated with generalized cesa´ro paranormed sequence space Cesq p(F) is proposed to overcome the drawbacks of distance measures (metrics) with their possibly induced clustering algorithms.

Abstract

In machine learning, distance measure plays an important role in defining the similarity between two data-items. In the paper, we discuss some of the drawbacks of distance measures (metrics) with their possibly induced clustering algorithms. Further, to overcome the drawbacks, we propose a novel intuitionistic fuzzy distance measure associated with generalized cesa´ro paranormed sequence space Cesq p(F). We also discuss some geometric properties of Cesq p(F). Moreover, the proposed distance measure is utilized in k-mean clustering algorithm to propose fuzzy c-mean clustering algorithm for Cesq p(F)

Citation format

KHAN, Mohd Shoaib; KAUSHAL, Meenakshi; LOHANI, Q. Danish. Http://ilirias.com/jiasf/vol_13_issue_1.html. Journal of Inequalities and Special Functions, 2022.