Quadrant Fuzzy Number and its Arithmetic Operations

B. Rama1* and G. Michael Rosario2

1Research Scholar, Jayaraj Annapackiam College for Women, Periyakulam. 11C,Golden Castle, Kavetti Naidu Layout,sowripalayam (PO), Peelamedu,Coimbatore-641 028, INDIA.. 2Associate Professor (Rtd), Research Center and PG Department of Mathematics, Jayaraj Annapackiam College for Women, Periyakulam, INDIA.

DOI : http://dx.doi.org/10.29055/jcms/1136


In this research paper a new fuzzy number called quadrant fuzzy number is introduced. Also its arithmetic operations are defined to convert the crisp model to fuzzy model. Signed distance method and graded mean integration representation method for defuzzifying the quadrant fuzzy numbers are discussed. Numerical examples are given to explain the definitions and operations.

Keywords :Quadrant fuzzy number, Triangular Quadrant fuzzy number, Trapezoidal quadrant fuzzy number, Pentagonal quadrant fuzzy number.

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