Filomat 2018 Volume 32, Issue 11, Pages: 3799-3814
https://doi.org/10.2298/FIL1811799K
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Bijective soft matrix theory and multi-bijective linguistic soft decision system
Kamacı Hüseyin
Atagün Akın Osman
Toktaş Emirhan
In this paper, we firstly introduce bijective soft matrix theory and research
its operations, properties and algebraic structures in detail. Also, we
present a bijective soft decision system based on the bijective soft matrix
theory. Moreover, we construct a multi-bijective linguistic soft decision
system by employing the matrices corresponding to the bijective soft sets
generated from the linguistic variable parameters. Finally, the system’s
decision algorithm and its application for a decision making problem are
given. By using the algorithm, we determine both the linguistic variables
according to the parameters and the parameters affecting the optimal choice
according to the highest linguistic decision value.
Keywords: soft set, bijective soft set, bijective soft matrix, multi-bijective linguistic soft decision system