Applications of Double Framed T-Soft Fuzzy Sets in BCK/BCI-Algebras

Muhammad Bilal Khan; Tahir Mahmood

doi:10.20944/preprints201804.0293.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 22 April 2018 / Approved: 23 April 2018 / Online: 23 April 2018 (12:15:40 CEST)

The aim of this article is introduced the concept of double framed T-soft fuzzy set (DFT-soft fuzzy set) which is the combination of soft set and fuzzy set. We also defined the notions and apply this concept in BCK/BCI-algebras. By using example, we also discussed the concept of double framed T-soft fuzzy algebra (DFT-soft fuzzy algebra) and double framed B-soft fuzzy algebra (DFB-soft fuzzy algebra) and also investigated their properties. Each double framed T-soft fuzzy algebra is double framed B-soft fuzzy algebra but by using example, we proved that converse may or may not be possible.

double framed T-soft fuzzy set; double framed T-soft fuzzy algebra; double framed B-soft fuzzy algebra

Computer Science and Mathematics, Algebra and Number Theory

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Applications of Double Framed T-Soft Fuzzy Sets in BCK/BCI-Algebras

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