[1]ZHANG Longxiang,LIAO Zuhua,WANG Qi,et al.New type of soft fields[J].CAAI Transactions on Intelligent Systems,2015,10(6):858-864.[doi:10.11992/tis.201507040]
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New type of soft fields

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 10 Number of periods: 2015 6 Page number: 858-864 Column: 学术论文—智能系统 Public date: 2015-12-25
Title:
New type of soft fields
Author(s):
ZHANG Longxiang1;  LIAO Zuhua1; 2;  WANG Qi1;  WANG Ruiyun1;  LIU Weilong1
1. School of Science, Jiangnan University, Wuxi 214122, China;
2. Institute of Intelligence System & Network Computing, Jiangnan University, Wuxi 214122, China
Keywords:
soft set; new type of soft field; dual soft set; homomorphic mapping; soft set operation
CLC:
TP18;O159
DOI:
10.11992/tis.201507040
Abstract:
To develop a concept for a new type of soft field, we introduce a method that endows a parameter set with a field algebra structure that differs from that of traditional soft algebras. We then obtain the necessary and sufficient condition of a new type of soft field. By performing a soft-set intersection operation, we prove that the intersection operation of two new soft-field types still represents a new type of soft field. In addition, we provide equivalent characterizations of this new type of soft field by applying dual soft sets. Finally, we induce homomorphic and inverse images of these soft sets by homomorphically mapping the fields and deriving the properties of the homomorphic and inverse images of this new type of soft field. Using this method to achieve this new type of soft field, we achieve more profound results when compared with ordinary soft fields and lay the foundation for future research into this new type of soft algebra.
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