Abstract

For the same of two fuzzy sets with different supports, this study investigates the entropy relationship between both of them. For the fuzzy numbers with triangular membership function, the entropy change between the resultant fuzzy numbers through some arithmetic operations and the original fuzzy numbers is studied. Since, the entropy can be used as a crisp approximation of a fuzzy number, therefore the resultant value is used to rank the fuzzy numbers. The main advantage of the proposed approach is that the proposed ranking method provides the correct ordering of fuzzy numbers and also the proposed approach is very simple and easy to apply in the real life problems.

Keywords:

Defuzzification, efficient, fuzzy numbers, ranking,

References

Competing interests

The authors have no competing interests.

Open Access Policy

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Copyright

The authors have no competing interests.