Some Generalized Distance and Similarity Measures for Picture Hesitant Fuzzy Sets and Their Applications in Building Material Recognition and Multi-Attribute Decision Making

摘要

The aim of this article is to develop some distance measures fornewly defined framework of picture hesitant fuzzy set (PHFS). A PHFS isa picture fuzzy set (PFS) having membership, abstinence and non-membershipgrades in the form of hesitant fuzzy numbers (HFNs). These distancemeasures include generalized picture hesitant distance measure, generalizedpicture hesitant normalizer distance measure, generalized picture hesitantweighted distance measure and generalized picture hesitant normalizerweighted distance measure along with some other distance measures.A comparison of developed distance measures is established with existingdistance measures and their advantages are discussed.