Haar Ranking of Linear and Non-Linear Heptagonal Fuzzy Number and its Application
S. Karthik1, N. Punithavelan2, Saroj Kumar Dash3

1S.Karthik, Department of Mathematics, Division Advanced Sciences, VIT Chennai (Tamil Nadu), India.
2N.Punithavelan, Department of Physics, Division Advanced Sciences, VIT Chennai (Tamil Nadu), India.
3Saroj Kumar Dash, Department of Mathematics, Division Advanced Sciences, VIT Chennai (Tamil Nadu), India.
Manuscript received on 07 April 2019 | Revised Manuscript received on 20 April 2019 | Manuscript published on 30 April 2019 | PP: 1212-1220 | Volume-8 Issue-6, April 2019 | Retrieval Number: F3810048619/19©BEIESP
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Abstract: Fuzzy numbers play a vital role in all the decision making problems as it represents the value to the linguistic terms which is the input for all the decision making techniques. In the last decade, most of the researchers have used triangular and trapezoidal fuzzy numbers to represent linguistic terms for solving the problem in the uncertain environment. But it is inadequate of dealing a problem when fuzziness arises in seven different points. Therefore, this paper’s intent is to propose the linear and non-linear heptagonal fuzzy number under uncertain environments. This paper derives the Haar ranking method for the heptagonal fuzzy number. Furthermore, Algorithm for the fuzzy assignment problem with Haar ranking is proposed. To check the soundness of the proposed ranking method, Fuzzy assignment problem in agriculture has been taken to determine the minimum cost for organic fertilizers applied in the field.
Keyword: Fuzzy Sets, α- Cut, Fuzzy Equation, Heptagonal Fuzzy Number, Haar Ranking, Fuzzy Assignment Problem, Agriculture.
Scope of the Article: Fuzzy Logics