IJPAM: Volume 106, No. 8 (2016)

MODIFIED NEW OPERATIONS FOR INTERVAL VALUED
INTUITIONISTIC FUZZY NUMBERS (IVIFNS):
LINEAR PROGRAMMING PROBLEM WITH
HEXAGONAL INTUITIONISTIC FUZZY NUMBERS

R. Irene Hepzibah$^{1,2}$, R. Vidhya$^{3,4}$
$^{1}$Department of Mathematics
AVC College of Engineering
Mayiladuthurai, Tamil Nadu, INDIA
$^{2}$Research and Development Centre
Bharathiar University
Coimbatore, 641046, Tamil Nadu, INDIA
$^{3}$Department of Mathematics
AS-SALAM College of Engineering and Technology
Aduthurai, Tamil Nadu, INDIA
$^{4}$Bharathiar University
Coimbatore, 641046, Tamil Nadu, INDIA


Abstract. This paper addresses the modified arithmetic operations on interval valued intuitionistic fuzzy numbers (IVIFNS) for solving interval valued intuitionistic fuzzy linear programming problem (IVIFLPP) with hexagonal intuitionistic fuzzy numbers by assuming different $\alpha$ and $\beta$ cut values. An illustrative numerical example is presented in order to clarify the proposed approach and the intuitionistic fuzzy output obtained by MATLAB software is also given.

Received: February 15, 2016

AMS Subject Classification: 65K05, 90C90, 90C70, 90C29

Key Words and Phrases: hexagonal intuitionistic fuzzy number (HIFN), interval valued intuitionistic fuzzy number (IVIFN), interval valued intuitionistic fuzzy arithmetic, intuitionistic fuzzy linear programming problem (IFLPP), interval valued intuitionistic fuzzy linear programming problem (IVIFLPP)

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DOI: 10.12732/ijpam.v106i8.13 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 106
Issue: 8
Pages: 97 - 106


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