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Double-Framed Soft Deductive System of Subtraction Algebras
Int. J. Fuzzy Log. Intell. Syst. 2018;18(3):214-219
Published online September 25, 2018
© 2018 Korean Institute of Intelligent Systems.

Chul Hwan Park

School of Mechanical Engineering, Ulsan College, Ulsan, Korea
Correspondence to: Chul Hwan Park
Received August 30, 2018; Revised September 11, 2018; Accepted September 11, 2018.
This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License ( which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.
The notion of double-framed soft deductive system in subtraction algebras is introduced, and several properties are investigated. Conditions for a double-framed soft set to be a double-framed soft deductive system are provided. Characterizations of a double-framed soft deductive system are established.
Keywords : Subtraction algebra, Soft set, Double-framed soft set, Double-framed soft deductive system