Bipolar logic and bipolar fuzzy logic - a unification of truth, fuzziness, and bipolarity

Author

Zhang, Wen-Ran

Author_Institution

Dept. of Math & Comput. Sci., Georgia Southern Univ., Statesboro, GA, USA

fYear

2002

fDate

2002

Firstpage

286

Lastpage

291

Abstract

It is observed that bipolar equilibrium is truth. Bipolarity like fuzziness, as an integral part of truth, is inseparable from the truth. It is argued that Boolean logic and its extensions cannot be directly used to represent and reason with the coexistence of bipolar truth. A crisp bipolar combinational logic BCL_I and its fuzzy counterpart BCL_F are proposed for bipolar modeling based on the ancient Chinese Yin-Yang philosophy. The new family of logical systems is distinguished from other models. Bipolar zero-order completeness and 1st-order soundness are proved with a Hilbert style proof theory based on unipolar axioms and rules of inference. In addition, the lair´s case in the ancient paradox is redressed.

Keywords

Boolean functions; fuzzy logic; inference mechanisms; Boolean logic; bipolar fuzzy logic; bipolar logic; bipolar modeling; bipolar zero-order completeness; bipolarity; fuzziness; truth; Boolean functions; Computer science; Earth; Fuzzy logic; Humans; International relations; Medical diagnostic imaging;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Information Processing Society, 2002. Proceedings. NAFIPS. 2002 Annual Meeting of the North American

Print_ISBN

0-7803-7461-4

Type

conf

DOI

10.1109/NAFIPS.2002.1018071

Filename

1018071