A $$T$$-sum bound of LR-fuzzy numbers.(English)Zbl 0920.04010

Summary: We provide an upper bound and a lower bound of the $$T$$-sum of LR-fuzzy numbers with different spreads, where $$T$$ is an Archimedean $$t$$-norm, and show in three examples how close they are to actual membership functions. Furthermore, we study when the membership function of a $$T$$-sum achieves the upper bound.

MSC:

 3e+72 Theory of fuzzy sets, etc.
Full Text:

References:

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