DOI: 10.5176/2251-3353_GEOS15.32
Authors: J.Rajaraman, K.Thiruvenkatasamy and S.Narasimha Rao
Abstract: Fuzziness is explored as an alternative to randomness for describing uncertainty. The new sets –as – points geometric view of fuzzy sets is developed. This view identifies a fuzzy set with a point in a unit hyper cube and a non-fuzzy set with a vertex of the cube. In Fuzzy logic a crisp set is a set in which all members match the class concept, and the class boundaries are sharp. The degree to which an individual observation z is a member of the set is expressed by the membership function F, which can take the value of 0 or 1for Boolean sets. In fuzzy logic the membership function is a number in the range of 0.1 with 0 representing non-membership of the set and 1 representing full membership of the set. “Kosko cube” is the Starting point. A two dimensional version of Kosko cube is considered. The sediments usually consist of clay and sand. If p is percentage of clay, then (1-p) is {6e6090cdd558c53a8bc18225ef4499fead9160abd3419ad4f137e902b483c465} of sand. Clay properties relate to pure shear. Similarly the sand {6e6090cdd558c53a8bc18225ef4499fead9160abd3419ad4f137e902b483c465} represents simple shear. Fuzzy logic suits this problem when {6e6090cdd558c53a8bc18225ef4499fead9160abd3419ad4f137e902b483c465} are expressed in the range 0, 0.1, 0.2 etc. up to 1.0. The membership functions in the combination of coaxial and non-coaxial shear component (pure and simple shear) is represented in Kosko cube. Taking Skempton’s experimental data (clay + Sand) points distributed in quadrants I, II, III, IV inside the cube as points are interpreted through simple Geological processes. Fuzzy logic can also be applied to carbonate compensation depth.
Keywords: Fuzzy Logic, Coaxial and Non-coaxial Shear, Kosko Cube, Membership function, Carbonate Compensation Depth.
Updating...