Methods and systems for applications for Z-numbers

A fuzzy logic control system, said system comprising:

• a computing device comprising one or more of following:
• computer, processor device, integrated circuit, microprocessor, or server;
• a fuzzy logic inference engine, in or loaded on or executed on or implemented in said computing device;
• a fuzzy logic rule repository comprising one or more fuzzy logic rules;
• an input module, wherein a precisiated proposition associated with a protoform is received by said input module;
• wherein said fuzzy logic inference engine evaluates a first fuzzy logic rule from said fuzzy logic rule repository;
• wherein said first fuzzy logic rule comprises an antecedent part and a consequent part;
• wherein said precisiated proposition comprises a Z-valuation;
• wherein said Z-valuation is in a form of ordered triple (X, A, B), representing a statement assignment of X to a pair (A, B);
• wherein X represents a variable, A is a fuzzy logic set in domain of X, and B is a fuzzy logic set representing a certainty indicator of X being possiblistically restricted by said fuzzy logic set A;
• a test score evaluation module, wherein said test score evaluation module assigns a first test score to a candidate probability distribution for X based on said Z-valuation;
• wherein said candidate probability distribution belongs to a set of candidate probability distributions;
• wherein said test score evaluation module assigns a second test score to said antecedent part based on said antecedent part, said set of candidate probability distributions, and said first test score;
• and
• wherein said fuzzy logic inference engine uses said second test score to determine whether said antecedent part is satisfied beyond a threshold.

A method for fuzzy logic control, said method comprising:

• a fuzzy logic inference engine evaluating a first fuzzy logic rule from a fuzzy logic rule repository;
• wherein said fuzzy logic inference engine is in or loaded on or executed on or implemented in a computing device;
• wherein said computing device comprises one or more of following:
• computer, processor device, integrated circuit, microprocessor, or server;
• wherein said fuzzy logic rule repository comprises one or more fuzzy logic rules;
• wherein said first fuzzy logic rule comprises an antecedent part and a consequent part;
• wherein said consequent part comprises a Z-valuation;
• wherein said Z-valuation is in a form of ordered triple (X, A, B), representing a statement assignment of X to a pair (A, B);
• wherein X represents a variable, A is a fuzzy logic set in domain of X, and B is a fuzzy logic set representing a certainty indicator of X being possiblistically restricted by said fuzzy logic set A;
• said evaluating step comprises:
• said fuzzy logic inference engine determining whether said antecedent part is satisfied beyond a threshold;
• correlating said consequent part with a first truth value based on said antecedent part;
• assigning a first test score to a candidate probability distribution for X based on said Z-valuation;
• wherein said candidate probability distribution belongs to a set of candidate probability distributions;
• and
• wherein said correlating step uses said first truth value and said first test score;
• and
• said fuzzy logic inference engine aggregating possibilistic restriction on said candidate probability distribution, based on said correlated consequent part.