Generalized Diﬀerentiability for Fuzzy-Valued Functions and their Associated Support Functions

عنوان به زبان ديگر

پديدآورندگان

Balooch Shahryari .M. R m.r.baloochshahryari@gmail.com Kerman Branch, Islamic Azad University , Sedaghatfar .O sedaghatfar@yahoo.com Yadegar-e-Imam Khomeini (RAH) Branch, Islamic Azad University , Miri Karbasaki .M mohsenmiri52@gmail.com Khash Branch, Islamic Azad University

تعداد صفحه

9

كليدواژه

Fuzzy numbers , Fuzzy , valued function , Generalized diﬀerentiability , Support functions.

سال انتشار

1396

عنوان كنفرانس

هفدهمين كنفررانس ملي سيستم هاي فازي، پانزدهمين كنفرانس ملي سيستم هاي هوشمند و ششمين كنگره ملي مشترك سيستم هاي فازي و هوشمند ايران

زبان مدرك

انگليسي

چكيده فارسي

In this paper, a characteristic theorem for the generalized diﬀerence concepts of fuzzy-numbers RF by means of support functions is presented. Using the new generalized diﬀerence, we also present and dicussed the concepts of generalized diﬀerentiability for fuzzy- valued functions. we have also characterized the relationships of generalized diﬀerentiability, support diﬀerentiability, level-wise diﬀerentiability. Moreover, some properties under general- ized diﬀerentiability are obtained for fuzzy-valued functions.

چكيده لاتين

In this paper, a characteristic theorem for the generalized diﬀerence concepts of fuzzy-numbers RF by means of support functions is presented. Using the new generalized diﬀerence, we also present and dicussed the concepts of generalized diﬀerentiability for fuzzy- valued functions. we have also characterized the relationships of generalized diﬀerentiability, support diﬀerentiability, level-wise diﬀerentiability. Moreover, some properties under general- ized diﬀerentiability are obtained for fuzzy-valued functions.

كشور

ايران