Z-number Computation for Uncertain Information Handling
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Solution Overview
Problem
Current technologies lack effective methods for computing with Z-numbers, which are essential for handling uncertain and imprecise information in decision-making processes, particularly in economics, risk assessment, and biomedicine, as they fail to provide reliable computation methods for Z-numbers described in natural language.
Innovation Solution
The introduction of Z-numbers as an ordered pair of fuzzy numbers (A, B) and the development of methods for computing with them, including the extension principle, allows for the computation of operations such as sum and square root of Z-numbers, enabling reliable handling of uncertain information.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If traditional computation methods are used, then computational simplicity is maintained, but the ability to handle uncertain and imprecise information deteriorates
Solution Approach 1:
The patent segments a Z-number into two distinct fuzzy numbers: the restriction component (A) that defines the range of possible values, and the reliability component (B) that defines the confidence level. This segmentation allows each component to be processed independently through fuzzy logic operations, enabling reliable computation with uncertain information while maintaining manageable computational complexity through modular processing steps.
2Adaptability or versatility
If Z-numbers are introduced to handle uncertain information, then the capability to process imprecise data is improved, but the computational complexity increases
Solution Approach 1:
The patent introduces fuzzy logic as an intermediary framework that bridges the gap between uncertain natural language information and precise computational results. By translating Z-numbers and their operations into fuzzy logic membership functions and inference rules, the system enables versatile handling of imprecise data while managing computational complexity through established fuzzy logic algorithms and procedures.
3Reliability
If computation methods for Z-numbers are developed, then the reliability of decision-making in uncertain environments is improved, but the difficulty of implementation increases
Solution Approach 1:
The patent enables the Z-number computation system to be self-sufficient by defining complete, standalone procedures for performing arithmetic operations (addition, subtraction, multiplication, division) and logical operations directly on Z-numbers. Each operation includes self-contained algorithms that automatically handle the interaction between restriction and reliability components, eliminating the need for external guidance or complex integration with other systems, thereby improving reliability while maintaining implementation feasibility.
Data Source
AI summary
Specification covers new algorithms, methods, and systems for artificial intelligence, soft computing, and deep learning/recognition, e.g., image recognition (e.g., for action, gesture, emotion, expression, biometrics, fingerprint, facial, OCR (text), background, relationship, position, pattern, and object), large number of images (“Big Data”) analytics, machine learning, training schemes, crowd-sourcing (using experts or humans), feature space, clustering, classification, similarity measures, optimization, search engine, ranking, question-answering system, soft (fuzzy or unsharp) boundaries/impreciseness/ambiguities/fuzziness in language, Natural Language Processing (NLP), Computing-with-Words (CWW), parsing, machine translation, sound and speech recognition, video search and analysis (e.g. tracking), image annotation, geometrical abstraction, image correction, semantic web, context analysis, data reliability (e.g., using Z-number (e.g., “About 45 minutes; Very sure”)), rules engine, control system, autonomous vehicle, self-diagnosis and self-repair robots, system diagnosis, medical diagnosis, biomedicine, data mining, event prediction, financial forecasting, economics, risk assessment, e-mail management, database management, indexing and join operation, memory management, and data compression.