An Enhanced Fuzzy Multi Criteria Decision Making Model with A proposed Polygon Fuzzy Number

Decisions in real world applications are often made under the presence of conflicting, uncertain, incomplete and imprecise information. Fuzzy multi Criteria Decision making (FMCDM) approach provides a powerful approach for drawing rational decisions under uncertainty given in the form of linguistic values. Linguistic values are usually represented as fuzzy numbers. Most of researchers adopt either triangle or trapezoidal fuzzy numbers. Since triangle, intervals, and even singleton are special cases of Trapezoidal fuzzy numbers, so, for most researchers Trapezoidal fuzzy numbers are considered Generalized fuzzy numbers (GFN). In this paper, we introduce polygon fuzzy number (PFN) as the actual form of GFN. The proposed form of PFN provides higher flexibility to decision makers to express their own linguistic rather than other form of fuzzy numbers. The given illustrative example ensures such ability for better handling of the FMCDM problems.

@article{Bekheet2014,
  title     = {An Enhanced Fuzzy Multi Criteria Decision Making Model with A proposed Polygon Fuzzy Number},
  journal   = {International Journal of Advanced Computer Science and Applications},
  volume    = {5},
  number    = {5},
  year      = {2014},
  publisher = {The Science and Information Organization},
  author    = {Samah Bekheet and Ammar Mohammed and Hesham A. Hefny},
  doi       = {10.14569/IJACSA.2014.050517},
  url       = {https://doi.org/10.14569/IJACSA.2014.050517}
}