A Methodology to Combine Intuitionistic Pentagonal Fuzzy Interval Focal Elements and Their Corresponding Basic Probability Assignments of Two Variables in Evidence Theory G.Geethalakshmi 1 , R.Irene Hepzibah 2 and A.Nagoorgani 3 1,2 Research and Development Centre, Bharathiar University, Coimbatore 641046, Tamil Nadu, India, 2 Department of Mathematics, AVC College of Engineering, Mayiladuthurai, Tamil Nadu, India, E.Mail: ireneraj74@gmail.com 3 PG & Research Department of Mathematics, Jamal Mohamed College (Autonomous), Trichy-20, Tamil Nadu, India, E-mail: ganijmc@yahoo.co.in Abstract In this paper a method is proposed to combine intuitionistic fuzzy focal elements and their corresponding Basic Probability Assignments of two variables using Dempster Shafer Theory (DST) of evidence. Further, we discussed about interval focal elements by combining non-membership interval focal elements and their corresponding Basic Probability Assignments, under interval valued intuitionistic pentagonal fuzzy arithmetic operations. A numerical example is provided to illustrate the efficiency of the proposed model. AMS Subject Classification: 60A86,97K50, llK65. Key Words and Phrases: Fuzzy sets, Dempster-Shafer Theory (DST), Basic Probability Assignments, Intuitionistic Pentagonal Fuzzy Number, Interval valued pentagon intuitionistic fuzzy arithmetic operations. International Journal of Pure and Applied Mathematics Volume 118 No. 6 2018, 335-343 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu Special Issue ijpam.eu 335