Role of Distance Metric in Goal Geometric Programming Problem (G^2 P^2) Under Imprecise Environment

The objective of this article is to tie a knot between distance measure and fuzzy and intuitionistic fuzzy optimization through goal programming. Firstly, a distance measure for an intuitionistic fuzzy number is developed, and then it is implemented into an intuitionistic fuzzy nonlinear goal progra...

Full description

Saved in:
Bibliographic Details
Published in:International journal of fuzzy system applications Vol. 8; no. 1; pp. 65 - 82
Main Authors: Roy, Tapan Kumar, Ghosh, Payel
Format: Journal Article
Language:English
Published: Hershey IGI Global 01.01.2019
Subjects:
Comparative studies
Design optimization
Fuzzy sets
Fuzzy systems
Goal programming
Linear programming
Mathematical programming
Germany
India
ISSN:2156-177X, 2156-1761
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The objective of this article is to tie a knot between distance measure and fuzzy and intuitionistic fuzzy optimization through goal programming. Firstly, a distance measure for an intuitionistic fuzzy number is developed, and then it is implemented into an intuitionistic fuzzy nonlinear goal programming. Then using some conditions, the distance measure of intuitionistic fuzzy number is converted into distance measure of fuzzy number and a comparative study using a numerical example is shown for highest applicability of distance measure based intuitionistic fuzzy goal programming than distance measure based fuzzy goal programming.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2156-177X
2156-1761
DOI:10.4018/IJFSA.2019010104