Investigation of OWA operator weights for estimating fuzzy validity of geometric shapes

Abstract

The estimation of fuzzy validity (f-validity) of complex fuzzy objects (f-objects) by using fuzzy geometry (f-geometry) may be a useful tool in revealing unknown links or patterns e.g. finger prints, shoe print, face sketch of a criminal etc. at crime site. The Extended Fuzzy Logic (FLe) is a combination of Fuzzy Logic (FL) and Unprecisiated Fuzzy Logic (FLu). Whenever a precise solution of any problem is either impossible or bit costlier, then we opt for the concept of FLe. The f-geometry is an example of Unprecisiated Fuzzy Logic (FLu). The f-geometry has different f-objects like f-point, f-line, f-circle, f-triangle, etc. The aggregation models can be used for aggregating the component of f-objects. The Minimizing Distance from extreme Point (MDP), which is a nonlinear ordered weighted averaging (OWA) objective model, is used to estimate f-validity of fuzzy objects. The results generated by the MDP model are found closer to degree of OR-ness. The objective of this paper is to lay the foundation and encourage further discussion on the development of methods for defining as well as estimating f-validity of some more complex f-objects for forensic investigation services. © 2014 Springer International Publishing Switzerland.