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Investigation of OWA Operator Weights for Estimating Fuzzy Validity of Geometric Shapes

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Advance Trends in Soft Computing

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 312))

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.

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Correspondence to Abdul Rahman .

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Rahman, A., Beg, M.M.S. (2014). Investigation of OWA Operator Weights for Estimating Fuzzy Validity of Geometric Shapes. In: Jamshidi, M., Kreinovich, V., Kacprzyk, J. (eds) Advance Trends in Soft Computing. Studies in Fuzziness and Soft Computing, vol 312. Springer, Cham. https://doi.org/10.1007/978-3-319-03674-8_2

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  • DOI: https://doi.org/10.1007/978-3-319-03674-8_2

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-03673-1

  • Online ISBN: 978-3-319-03674-8

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