A theoretical development of distance measure for intuitionistic fuzzy numbers
type: Item
instance of: scholarly article
title: A theoretical development of distance measure for intuitionistic fuzzy numbers
zbMATH Open document ID: 1194.03046
DOI: 10.1155/2010/949143
author: Debashree Guha
author: Debjani Chakraborty
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2010-04-20T00:00:00Z
full work available at URL: https://eudml.org/doc/224583
review text: Summary: The objective of this paper is to introduce a distance measure for intuitionistic fuzzy numbers. First, the existing distance measures for intuitionistic fuzzy sets are analyzed and compared with the help of some examples. Then the new distance measure for intuitionistic fuzzy numbers is proposed based on interval difference. Also, in particular, the type of distance measure for triangle intuitionistic fuzzy numbers is described. The metric properties of the proposed measure are also studied. Some numerical examples are considered for applying the proposed measure, and finally the result is compared with the existing ones.
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 26E50
zbMATH DE Number: 5695269
MaRDI profile type: Publication
OpenAlex ID: W2061385830
Wikidata QID: Q58651478
cites work: Fuzzy sets
cites work: L-fuzzy sets
cites work: Intuitionistic fuzzy sets
cites work: Vague sets
cites work: Vague sets are intuitionistic fuzzy sets
cites work: Fuzzy Membership Mapped onto Intervals and Many‐Valued Quantities
cites work: Intervall-wertige Mengen
cites work: Interval valued fuzzy sets based on normal forms
cites work: A new approach for ranking fuzzy numbers by distance method
cites work: Fuzzy least squares
cites work: Comparison of fuzzy numbers using a fuzzy distance measure
cites work: Multidimensional least-squares fitting with a fuzzy model
cites work: Some remarks on distances between fuzzy numbers
cites work: A theoretical development on a fuzzy distance measure for fuzzy numbers
cites work: Intuitionistic fuzzy sets. Theory and applications
cites work: Distances between intuitionistic fuzzy sets
cites work: Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric
cites work: Similarity measures of intuitionistic fuzzy sets based on \(L_p\) metric
cites work: Intuitionistic fuzzy numbers and intuitionistic distribution numbers
cites work: Q4648055
cites work: More on intuitionistic fuzzy sets
cites work: New operations defined over the intuitionistic fuzzy sets
cites work: Operators over interval valued intuitionistic fuzzy sets
DBLP publication ID: journals/ijmmsc/GuhaC10
description: scientific article; zbMATH DE number 5695269