Abstract:The notions of ð2; 2 _ qÞ-fuzzy p-ideals and fuzzy p-ideals with thresholds related to soft set theory are discussed. Relations between ð2; 2 _ qÞ-fuzzy ideals and ð2; 2 _ qÞ-fuzzy p-ideals are investigated. Characterizations of an ð2; 2 _ qÞ-fuzzy p-ideal and a fuzzy p-ideal with thresholds are displayed. Implication-based fuzzy p-ideals are discussed.
“…Shabir and Samreena [17], worked on double framed soft topological spaces and defined its notation. For further information, we refer to reader papers [18][19][20][21][22][23][24][25][26][27][28][29] regarding soft algebraic structures.…”
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.
“…Shabir and Samreena [17], worked on double framed soft topological spaces and defined its notation. For further information, we refer to reader papers [18][19][20][21][22][23][24][25][26][27][28][29] regarding soft algebraic structures.…”
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.
“…They also discussed the notion of soft groups. After than, many algebraic properties of soft sets are studied (see [1,3,9,13,14,15,16,17,18,24,30]). …”
Abstract. The notion of int-soft (implicative) filters in lattice implication algebras is introduced, and related properties are investigated. Characterizations of int-soft (implicative) filters are discussed. Conditions for an int-soft filter to be an int-soft implicative filter are provided. Extension property for int-soft implicative filters is established.
“…They also discussed the notion of soft groups. After than, many algebraic properties of soft sets are studied (see [1,3,7,9,10,11,12,13,14,19,23]). …”
Abstract. The notion of intersectional soft sets is introduced, and several examples are given. The application of intersectional soft sets to BCK/BCI-algebras is discussed.
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