Comparison of Fuzzy Numbers with Ranking Fuzzy and Real Number
- Department of Mathematics, Mazandaran Branch Science and Research, Islamic Azad University, Mazandaran, Iran.
- Department of Mathematics Sari Branch, Islamic Azad University, Sari, Iran.
M. Adabitabar Firozja
- Department of mathematics, Qaemshar Branch, Islamic Azad University, Qaemshahr, Iran.
- Department of Applied Mathematics, Iran University of Science and Technology, Behshahr, Iran.
Ranking fuzzy numbers play as a key tool in many applied models in the world and in particular decision-making procedures. We are going to present a new method based on the ranking the fuzzy number and real number. The problem of ranking the fuzzy number and real number is proposed with ranking function and then this approach to extend the ranking of two fuzzy numbers with ranking function. The proposed method is illustrated by some numerical examples and in particular the results of ranking by the proposed method and some common and existing methods for ranking fuzzy sets is compared to verify the advantage of the new approach. We will see that against of most existing ranking approaches where for two fuzzy sets are the exact ranking, the above men sioned method can give a ranking fuzzy numbers with acceptance rate smaller as fuzzy.
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M. Yaghobi, M. Rabbani, M. Adabitabar Firozja, J. Vahidi, Comparison of Fuzzy Numbers with Ranking Fuzzy and Real Number, Journal of Mathematics and Computer Science, 12 (2014), no. 1, 65 - 72
Yaghobi M., Rabbani M., Firozja M. Adabitabar, Vahidi J., Comparison of Fuzzy Numbers with Ranking Fuzzy and Real Number. J Math Comput SCI-JM. (2014); 12(1):65 - 72
Yaghobi, M., Rabbani, M., Firozja, M. Adabitabar, Vahidi, J.. "Comparison of Fuzzy Numbers with Ranking Fuzzy and Real Number." Journal of Mathematics and Computer Science, 12, no. 1 (2014): 65 - 72
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