A Mathematical Approach to Eliminate the Deficiency of Minerals in Soils using Fuzzy Linear Programming

 International Journal of Mathematics Trends and Technology (IJMTT) © 2018 by IJMTT Journal Volume-55 Number-5 Year of Publication : 2018 Authors : Rama S, Anna Rose K.B and Palliyil Stefy Solomon 10.14445/22315373/IJMTT-V55P550

Rama S, Anna Rose K.B and Palliyil Stefy Solomon "A Mathematical Approach to Eliminate the Deficiency of Minerals in Soils using Fuzzy Linear Programming", International Journal of Mathematics Trends and Technology (IJMTT). V55(5):380-387 March 2018. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
Project planning is the important task in many areas like construction, resource allocation and many. A sequence of activities has to be performed to complete one task. Each activity has its unique processing time and all together to identify the critical activities which affect the completion of the project. In this project the fertility of the soil is to be improved for a better crop production by removing the deficiency of the minerals from the soils by adding appropriate manures according to the requirements. This paper discuss about the fuzzy linear programming problem. In this paper a fuzzy optimization problem has been modelled, which work as pure fuzzy linear programming problem using trapezoidal fuzzy numbers and solved it with the help of fuzzy version of Big M method. By applying the fuzzy concepts, the infeasibility of the optimal solution has been eliminated and an optimal solution has been obtained. The results are tabulated. For numerical study the data for the soils in the northern and southern part of India has been taken.

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Keywords
Fuzzy linear programming, deficiency, trapezoidal fuzzy numbers.