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Proceedings ArticleDOI

A simple mathematical approach to solve intuitionistic fuzzy linear programming problems

M. Jayalakshmi, +3 more
- Vol. 2177, Iss: 1, pp 020025
TLDR
A new method namely separation and addition method to solve fully intuitionistic fuzzy linear programming (IFLP) problems with main advantage is that the nature of the intuitionistic variables were not changed in to crisp by ranking functions.
Abstract
We present a new method namely separation and addition method to solve fully intuitionistic fuzzy linear programming (IFLP) problems. The main advantage is that the nature of the intuitionistic variables were not changed in to crisp by ranking functions. Further, it is decomposed into multi-objective linear programming (MOLP) and linear programming (LP) technique by its arithmetic operation and ordering relations. Numerical example will explain clearly about the proposed method.

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References
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Journal ArticleDOI

Intuitionistic fuzzy sets

TL;DR: Various properties are proved, which are connected to the operations and relations over sets, and with modal and topological operators, defined over the set of IFS's.
Journal ArticleDOI

Ranking-intuitionistic fuzzy numbers

TL;DR: This paper considers the problem of rank-based fuzzy sets, a generalization of ordinary fuzzy sets which are characterized by a membership function and a non-membership function.
Journal ArticleDOI

A possibility degree method for interval-valued intuitionistic fuzzy multi-attribute group decision making

TL;DR: The ordered weighted average operator and hybrid weightedAverage operator for IVIFNs are defined based on the Karnik-Mendel algorithms and employed to solve multi-attribute group decision making problems with IVIFNNs.
Journal ArticleDOI

Solving Intuitionistic Fuzzy Linear Programming Problem

TL;DR: An attempt is made to solve intuitionistic fuzzylinear programming problems using a technique based on an earlier technique proposed by Zimmermann to solve fuzzy linear programming problem.
Journal ArticleDOI

Notes on triangular intuitionistic fuzzy numbers

TL;DR: The basic algebra and some non-linear operations of triangular intuitionistic fuzzy numbers (TIFNs) are devised and the average ranking index is introduced to find out order relations between two TIFNs.
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