Fuzzy Optimization of Ignorance-Knowledge Relational Decomposition in Knowing Through Transversality Conditions

This chapter is devoted to the fuzzy paradigm of thought as an organic (macro-) paradigm for thinking and reasoning in the development of the set of fuzzy meta-paradigms including the fuzzy optimization for the analysis of the conditions in the space of ignorance-knowledge dualities as an example for other dualistic-polar categorial varieties. From the cognitive framework of the fuzzy paradigm of thought, techniques and methods of fuzzy optimization are used to analyze the optimal conditions of neuro-decision-choice varieties in the space of ignorance-knowledge dualities, where variety ignorance and variety knowledge are mutually constraining for abstracting the optimality in defining the transversality conditions in the journey from the zone of ignorance to the zone of knowledge to specify the conditions for the variety identity in knowing. The conditions of optimality are used to decompose the zones of knowledge and ignorance for specifying the optimal knowledge through the fuzzy optimal decomposition. Discussions are made with examples in the use of fuzzy Numbers for optimizing ignorance-knowledge relation and the use of the conditions of the fuzzy optimality for the decomposition of the space of ignorance-knowledge dualities. The cumulative results of the chapter are the development of a theory of ignorance-knowledge dualities that allows the specificationism of the conditions of zones of ignorance and knowledge for claims of degrees of confidence of variety identities as known to be added to the accumulated information-knowledge stocks.