NDLI: Modeling and implementation of Z-number

Content Provider	Springer Nature Link
Author	Patel, Purvag Khorasani, Elham S. Rahimi, Shahram
Copyright Year	2015
Abstract	Computing with words provides symbolic and semantic methodology to deal with imprecise information associated with natural languages. It encapsulates various fuzzy logic techniques developed in past decades and formalizes them. Z-number is an emerging paradigm that has been utilized in computing with words among others. The concept of a Z-number is intended to provide a basis for computation with numbers, specifically with reliability of information. Z-numbers are in confluence between the two most prominent approaches to uncertainty, probability and possibility, that allow computations on complex statements. Certain computations related to Z-numbers are ambiguous and complicated leading to its slow adaptation into areas such as computing with words. The biggest contributing factor to the complexity is the usage of probability distributions in the computations. This paper seeks to provide an applied model of Z-number based on certain realistic assumptions regarding probability distributions. Algorithms are presented to implement this model and integrate it into an expert system shell for computing with words called CWShell. CWShell is a software tool that abstracts the underlying computation required for computing with words, and provides a convenient way to represent and compute with unstructured natural language using specialized language called Generalized constraint language (GCL). This paper introduces new constructs for Z-numbers to GCL and provides detailed inference mechanism and computation strategy on those constructs. We present two case studies to demonstrate the working and feasibility of the approach.
Starting Page	1341
Ending Page	1364
Page Count	24
File Format	PDF
ISSN	14327643
Journal	Soft Computing
Volume Number	20
Issue Number	4
e-ISSN	14337479
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2015-02-20
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Z-numbers Fuzzy probability Inference Computing with words Extension principle Expert system shell Jess Rule-based systems Computational Intelligence Artificial Intelligence (incl. Robotics) Mathematical Logic and Foundations Control, Robotics, Mechatronics
Content Type	Text
Resource Type	Article
Subject	Theoretical Computer Science Software Geometry and Topology

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle

Parallel distributed genetic fuzzy rule selection

Triangular approximations of fuzzy numbers using α-weighted valuations

A probabilistic interpretation of the medical expert system CADIAG-2

Fuzzy probability calculation with confidence intervals in Bayesian networks

On some difference sequence spaces of fuzzy numbers

Ranking of fuzzy numbers by a new metric

Symmetric fuzzy numbers and additive equivalence of fuzzy numbers

Towards a linear general type-2 fuzzy logic based approach for computing with words

Modeling and implementation of Z-number

Similar Documents

Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle

Parallel distributed genetic fuzzy rule selection

Triangular approximations of fuzzy numbers using α-weighted valuations

A probabilistic interpretation of the medical expert system CADIAG-2

Fuzzy probability calculation with confidence intervals in Bayesian networks

On some difference sequence spaces of fuzzy numbers

Ranking of fuzzy numbers by a new metric

Symmetric fuzzy numbers and additive equivalence of fuzzy numbers

Towards a linear general type-2 fuzzy logic based approach for computing with words

Modeling and implementation of Z-number