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- W3131791940 abstract "This study focuses on combining the theories of <math xmlns=http://www.w3.org/1998/Math/MathML id=M1> <mi>m</mi> </math> -polar fuzzy sets over <math xmlns=http://www.w3.org/1998/Math/MathML id=M2> <mtext>BCK</mtext> </math> -algebras and establishing a new framework of <math xmlns=http://www.w3.org/1998/Math/MathML id=M3> <mi>m</mi> </math> -polar fuzzy <math xmlns=http://www.w3.org/1998/Math/MathML id=M4> <mtext>BCK</mtext> </math> -algebras. In this paper, we define the idea of <math xmlns=http://www.w3.org/1998/Math/MathML id=M5> <mi>m</mi> </math> -polar fuzzy positive implicative ideals in <math xmlns=http://www.w3.org/1998/Math/MathML id=M6> <mtext>BCK</mtext> </math> -algebras and investigate some related properties. Then, we introduce the concepts of <math xmlns=http://www.w3.org/1998/Math/MathML id=M7> <mi>m</mi> </math> -polar <math xmlns=http://www.w3.org/1998/Math/MathML id=M8> <mfenced open=( close=) separators=|> <mrow> <mo>∈</mo> <mo>,</mo> <mo>∈</mo> <mo>∨</mo> <mi>q</mi> </mrow> </mfenced> </math> -fuzzy positive implicative ideals and <math xmlns=http://www.w3.org/1998/Math/MathML id=M9> <mi>m</mi> </math> -polar <math xmlns=http://www.w3.org/1998/Math/MathML id=M10> <mfenced open=( close=) separators=|> <mrow> <mover accent=true> <mo>∈</mo> <mo>¯</mo> </mover> <mo>,</mo> <mrow> <mover accent=true> <mo>∈</mo> <mo>¯</mo> </mover> </mrow> <mo>∨</mo> <mrow> <mover accent=true> <mi>q</mi> <mo>¯</mo> </mover> </mrow> </mrow> </mfenced> </math> -fuzzy positive implicative ideals in <math xmlns=http://www.w3.org/1998/Math/MathML id=M11> <mtext>BCK</mtext> </math> -algebras as a generalization of <math xmlns=http://www.w3.org/1998/Math/MathML id=M12> <mi>m</mi> </math> -polar fuzzy positive implicative ideals. Several properties, examples, and characterization theorems of these concepts are considered." @default.
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- W3131791940 date "2021-02-17" @default.
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- W3131791940 title "Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras" @default.
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- W3131791940 doi "https://doi.org/10.1155/2021/6610009" @default.
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