The road from fuzzy sets to definable causality and bipolar quantum intelligence—To the memory of Lotfi A. Zadeh

Issue title: Special Section: Similarity, correlation and association measures - dedicated to the memory of Lotfi Zadeh

Guest editors: Ildar Batyrshin, Valerie Cross, Vladik Kreinovich and Maria Rifqi

Article type: Research Article

Authors: Zhang, Wen-Ran^{; *}

Affiliations: Department of Computer Science, Georgia Southern University, Statesboro, GA USA

Correspondence: [*] Corresponding author. Wen-ran Zhang, Department of Computer Science, Georgia Southern University, Statesboro, GA USA. E-mail: wrzhang@georgiasouthern.edu.

Abstract: The road from fuzzy sets to logically definable causality is surveyed. It is shown that YinYang bipolar fuzzy set theory as an extension to fuzzy sets provides a logical basis for the definability of causality. In turn, bipolar causality leads to a ubiquitous analytical paradigm of quantum cognition and quantum intelligence. It is pointed out that these would have been impossible without Lotfi’s recognition of bipolar fuzzy sets. It is concluded that Lotfi’s scientific spirit transcends the boundaries of his achievement in science, and on the road to definable causality and quantum intelligence he will be remembered as a Giant whose feet are on the ground but whose head is above the clouds.

Keywords: YinYang bipolar fuzzy sets, bipolar universal modus ponens, definable causality, quantum cognition, quan-tum Intelligence, Mind-Light-Matter Unification, floor-roof theory of science

DOI: 10.3233/JIFS-172159

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 4, pp. 3019-3032, 2019