A note on the generalized difference and the generalized differentiability

作者：Gomes Luciana T^*; Barros Laecio C

来源：Fuzzy Sets and Systems, 2015, 280: 142-145.

DOI：10.1016/j.fss.2015.02.015

• Generalized difference
• Generalized derivative
• Fuzzy arithmetic
• Fuzzy numbers

This note reveals that the assertion in Stefanini (2008) [2] that the generalized difference between two fuzzy numbers is always a fuzzy number is incorrect. As a consequence, the theorem of existence of the generalized differentiability in Bede and Stefanini (2013) [7] is also incorrect. We propose a modification in the definition of the generalized difference in order to assure the mentioned results.

• 出版日期2015-12-1