Logic Value Fuzzy Subgroup Of a Group
- 10.2991/csic-15.2015.100How to use a DOI?
- Group, Subgroup, Normal subgroup, Sentence, Value assignment, Tautology, Dual
The aims of this article are to establish the relationship between the fuzzy algebra and the classical logic and to study fuzzy algebra by the use of classical logic methods. We firstly introduces the concept of the logic value fuzzy subgroup, and studies the relationship between the fuzzy subgroup and its dual. It is pointed out that H is a logic value (normal) fuzzy subgroup of a group G if and only if for all value assignment v, the core and the v-dual of H is the (normal) subgroup of G. Secondly, we study the properties of the logical value fuzzy subgroup, the logical value normal fuzzy subgroup and its quotient groups. Finally, We study the properties of homomorphic image of the logic value fuzzy subgroup. The research of this paper can help to establish the relationship between the fuzzy algebra and the classical logic.
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Xiaoshen Li AU - Xuehai Yuan AU - Letao Wu PY - 2015/07 DA - 2015/07 TI - Logic Value Fuzzy Subgroup Of a Group BT - Proceedings of the 2015 International Conference on Computer Science and Intelligent Communication PB - Atlantis Press SP - 414 EP - 417 SN - 2352-538X UR - https://doi.org/10.2991/csic-15.2015.100 DO - 10.2991/csic-15.2015.100 ID - Li2015/07 ER -