A note on the generalized difference and the generalized differentiability

Gomes Luciana T.; Barros Laecio C.

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A note on the generalized difference and the generalized differentiability

机译：关于广义差异和广义微分的注记

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摘要

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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《Fuzzy sets and systems》 |2015年第1期|142-145|共4页
作者
Gomes Luciana T.; Barros Laecio C.;
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作者单位

Univ Fed Sao Carlos, Dept Phys Chem & Math, Sorocaba, SP, Brazil.;

Univ Estadual Campinas, Dept Appl Math, IMECC, Campinas, SP, Brazil.;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Generalized difference; Generalized derivative; Fuzzy arithmetic; Fuzzy numbers;

机译：广义差分;广义导数;模糊算术;模糊数;

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A note on the generalized difference and the generalized differentiability

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