Logic Value Fuzzy Subgroup Of a Group

DOI

10.2991/csic-15.2015.100How to use a DOI?

Keywords

Group, Subgroup, Normal subgroup, Sentence, Value assignment, Tautology, Dual

Abstract

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.

Copyright

© 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/).

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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  -