International Journal of Pure and Applied Mathematics Volume 106 No. 8 2016, 97-106 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu doi: 10.12732/ijpam.v106i8.13 P A ijpam.eu 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 α and β 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. AMS Subject Classification: 65K05, 90C90, 90C70, 90C29 Key Words: hexagonal intuitionistic fuzzy number (HIFN), interval valued intuitionistic fuzzy number (IVIFN), interval valued intuitionistic fuzzy arithmetic, intuitionistic fuzzy lin- ear programming problem (IFLPP), interval valued intuitionistic fuzzy linear programming problem (IVIFLPP) Received: February 15, 2016 Published: April 15, 2016 c  2016 Academic Publications, Ltd. url: www.acadpubl.eu