Estimating the Efficiency of Building Stones in Complex Fuzzy Environment

Abstract

Rocks are importantly used as building materials. Here chemical, biochemical, clastic and organic sedimentary rocks are chosen for building stones. These rocks are tested for their efficiency in structure strength, toughness, weathering resistances and quality. Using complex picture fuzzy soft VIKOR method it is concluded that clastic sedimentary rocks is the best building stone. First a score function is defined and is used for the construction of complex picture fuzzy soft score matrix the proficiency of CPFS score function over the existing score function is established. Next entropy measure is determined from which weight values are calculated. Complex picture fuzzy soft positive and negative ideal solutions are found and hence the group utility and individual regret values are obtained. By making use of these values the compromising ranking solution is found.