Arithmetic Operations on Symmetric Trapezoidal Intuitionistic Fuzzy Numbers
R. Parvathi1, C. Malathi2
1R.Parvathi, Vellalar College for Women, Department of Mathematics, Erode – 638 012, Tamilnadu, India.
2C.Malathi, Gobi Arts and Science College, Department of Mathematics, Gobi – 638 456, Tamilnadu, India.
Manuscript received on April 11, 2012. | Revised Manuscript received on April 14, 2012. | Manuscript published on May 05, 2012. | PP: 268-273 | Volume-2 Issue-2, May 2012 . | Retrieval Number: B0599042212/2012©BEIESP
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© The Authors. Published By: Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: In this paper, Symmetric Trapezoidal Intuitionistic Fuzzy Numbers (STIFNs) have been introduced and their desirable properties are also studied. A new type of intuitionistic fuzzy arithmetic operations for STIFN have been proposed based on ( , ) -cuts. A numerical example is considered to elaborate the proposed arithmetic operations. These operations find applications in solving linear programming problems in intuitionistic fuzzy environment and also to find regression coefficient in intuitionistic fuzzy environment.
Keywords: Intuitionistic Fuzzy Index, Intuitionistic Fuzzy Number, Intuitionistic Fuzzy Set, Symmetric Trapezoidal Intuitionistic Fuzzy Number, ( , ) -cuts.