Article
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Applications of Double Framed T-Soft Fuzzy Sets in BCK/BCI-Algebras
Version 1
: Received: 22 April 2018 / Approved: 23 April 2018 / Online: 23 April 2018 (12:15:40 CEST)
How to cite: Bilal Khan, M.; Mahmood, T. Applications of Double Framed T-Soft Fuzzy Sets in BCK/BCI-Algebras. Preprints 2018, 2018040293. https://doi.org/10.20944/preprints201804.0293.v1 Bilal Khan, M.; Mahmood, T. Applications of Double Framed T-Soft Fuzzy Sets in BCK/BCI-Algebras. Preprints 2018, 2018040293. https://doi.org/10.20944/preprints201804.0293.v1
Abstract
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.
Keywords
double framed T-soft fuzzy set; double framed T-soft fuzzy algebra; double framed B-soft fuzzy algebra
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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