• APPLICATION OF FUZZY MATRICES IN TAPIOCA CULTIVATION

Abstract

The concept of fuzzy set was first introduced by Zadeh [20] in 1965. Fuzzy set theory is an extension of classical set theory. The concept of fuzzy relation on a set was defined by Zadeh [20, 21]. In the last thirty years Bell [1], Dubois and Prade [2], Kerre [5], Lowen [8], Meenakshi et al.[9], [10], [11], Roesenfeld [14], Zimmermann [22] and others have extended the ideas of fuzzy set theory to topology, algebra, Hilbert spaces, graphs, games theory, logic and computing, etc. The basic concept of fuzzy matrices introduced by Vasantha Kandasamy W.B., Florentin Smarandache and Ilanthenral K. [17, 18] are studied. They gave the basic notions of matrices, the properties of fuzzy matrices and graphical presentation. This paper describes a simple (yet powerful) methodology for decision making based on fuzzy sets. The paper proposes a multi level fuzzy evaluation function which will totally order a number of tapioca growing district alternatives in a zone. It demonstrates how to carry out production in a profitable manner and allocation of land for selecting suitable cropping options in agriculture. The domain is interesting because decision makers base their choices on a wide range of crops for example, cash crops, food crops, non- food crops, oil seeds, fruits and vegetables etc. this paper attempts to study, with the application of fuzzy sets which district is best suited for maximum tapioca production which is a much luring crop. For the purpose of study, time series agriculture data from published sources has been taken for six districts from north western zone during the period of ten years from 2006-07 to 2015-16.