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Defuzzification by area of region and decision making using Hurwicz criteria for fuzzy numbers
| Content Provider | Semantic Scholar |
|---|---|
| Author | Anandan, Vinolia Uthra, G. |
| Copyright Year | 2014 |
| Abstract | This paper deals with multi criteria decision making problem under uncertainty. The algorithm is proposed using Hurwicz criteria for triangular, trapezoidal and octagonal fuzzy numbers. Hurwicz criteria are widely used for decision making if the data are precise and quantitative. It is not possible to apply Hurwicz criteria for imprecise data. To deal imprecise information, L.A.Zadeh [17] introduced the concept of a fuzzy set. A fuzzy set is defined by its membership function and defuzzification is the process of converting the fuzzy set into a crisp set. Various defuzzification methods like Max membership (or height method), Centroid, Weighted average, Mean max, Center of sums, Center of largest area, First (or last) of maxima, BAsic Defuzzification Distributions (BADD) are proposed so far to defuzzify a fuzzy quantity into a crisp quantity. In this paper, the defuzzification is done using the area of the region (AOR) and Hurwicz criteria is applied to the defuzzified data to find the best action. The ranking order measured under different risk attitude of the decision maker is illustrated and discussed with a numerical example. 3146 V. Anandan and G. Uthra |
| Starting Page | 3145 |
| Ending Page | 3154 |
| Page Count | 10 |
| File Format | PDF HTM / HTML |
| DOI | 10.12988/ams.2014.44294 |
| Volume Number | 8 |
| Alternate Webpage(s) | http://www.m-hikari.com/ams/ams-2014/ams-61-64-2014/anandanAMS61-64-2014.pdf |
| Alternate Webpage(s) | https://doi.org/10.12988/ams.2014.44294 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
