Book ChapterDOI
The Z-Number Enigma: A Study through an Experiment
Romi Banerjee,Sankar K. Pal +1 more
- pp 71-88
TLDR
The probable contributions of the Z-number to CWW are enlisted, the algorithm for CWW is presented, the interpretation of the set-theoretic intersection operator is extended to evaluate the intersection of perceptions, and some of the challenges underlying the implementation of theZ-number are discovered.Abstract:
The Z-number, proposed by Zadeh in the year 2011, is a new fuzzy-theoretic approach to the Computing With Words (CWW) paradigm. It aspires to capture the uncertainty of information conveyed by a sentence, and serve as a model for the precisiation and linguistic summarization of a natural language statement. The Z-number thereby, lends a new dimension to CWW – uniting CWW with Natural Language Processing (NLP). This article is an illumination upon our exploration of the Z-number approach to CWW. Here, we enlist the probable contributions of the Z-number to CWW, present our algorithm for CWW using the Z-number, and describe a simulation of the technique with respect to a real-life example of CWW. In the course of the simulation, we extend the interpretation of the set-theoretic intersection operator to evaluate the intersection of perceptions and discover some of the challenges underlying the implementation of the Z-number in the area of CWW.read more
Citations
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Journal ArticleDOI
Z*-numbers
Romi Banerjee,Sankar K. Pal +1 more
TL;DR: This article proposes definitions for certainty and affect parameters-arising out of socio-cultural influences on machine-knowledge, a Z*-number based rudimentary procedure for natural-language comprehension emulation, and primitive perception-operators for 'machine-mentalese' simulation using Z-number information-equivalents.
Journal ArticleDOI
The Parametric Form of Z‐Number and Its Application in Z‐Number Initial Value Problem
TL;DR: The parametric form of Z‐numbers is introduced and it is followed by defining arithmetic operations on them and the characterization theorem is proved to solve the mentioned ZIVP.
Journal ArticleDOI
Hukuhara difference of Z-numbers
TL;DR: This work suggests a fundamental approach for development of the concept of Hukuhara difference of Z-numbers, an inverse of addition operation in the existing literature devoted to set-valued arithmetic and fuzzy arithmetic.
Journal ArticleDOI
Granulated deep learning and Z-numbers in motion detection and object recognition
TL;DR: The article deals with the problems of motion detection, object recognition, and scene description using deep learning in the framework of granular computing and Z-numbers and shows a balanced trade-off between speed and accuracy as compared to pixel level learning in tracking and recognition.
Book ChapterDOI
On Z-numbers and the Machine-Mind for Natural Language Comprehension
Romi Banerjee,Sankar K. Pal +1 more
TL;DR: The extension of Zadeh's basic Z-numbers into a tool for level-2 Computing With Words (CWW) and consequently subjective natural language understanding and the design of a, Minsky’s Society of Mind based, natural language comprehending machine-mind architecture are described.
References
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Journal ArticleDOI
Outline of a New Approach to the Analysis of Complex Systems and Decision Processes
TL;DR: By relying on the use of linguistic variables and fuzzy algorithms, the approach provides an approximate and yet effective means of describing the behavior of systems which are too complex or too ill-defined to admit of precise mathematical analysis.
Book
Computing Machinery and Intelligence
TL;DR: If the meaning of the words “machine” and “think” are to be found by examining how they are commonly used it is difficult to escape the conclusion that the meaning and the answer to the question, “Can machines think?” is to be sought in a statistical survey such as a Gallup poll.
Journal ArticleDOI
Fuzzy logic = computing with words
TL;DR: The point of this note is that fuzzy logic plays a pivotal role in CW and vice-versa and, as an approximation, fuzzy logic may be equated to CW.
Journal ArticleDOI
A Note on Z-numbers
TL;DR: The concept of a Z-number has a potential for many applications, especially in the realms of economics, decision analysis, risk assessment, prediction, anticipation and rule-based characterization of imprecise functions and relations.