Journal
FUZZY SETS AND SYSTEMS
Volume 280, Issue -, Pages 142-145Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.fss.2015.02.015
Keywords
Generalized difference; Generalized derivative; Fuzzy arithmetic; Fuzzy numbers
Funding
- CNPq - Brazil [140798/2010-2, 305862/2013-8]
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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. (C) 2015 Elsevier B.V. All rights reserved.
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