Frontiers of Information Technology and Electronic Engineering, ( ISI ), Volume (15), No (7), Year (2014-4) , Pages (584-591)

Title : ( A framework for analysis of extended fuzzy logic )

Authors: Farnaz Sabahi , Mohammad Reza Akbarzadeh Totonchi ,

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Abstract

We address a framework for the analysis of extended fuzzy logic (FLe) and elaborate mainly the key characteris-tics of FLe by proving several qualification theorems and proposing a new mathematical tool named the A-granule. Specifically, we reveal that within FLe a solution in the presence of incomplete information approaches the one gained by complete infor-mation. It is also proved that the answers and their validities have a structural isomorphism within the same context. This rela-tionship is then used to prove the representation theorem that addresses the rationality of FLe-based reasoning. As a conse-quence of the developed theoretical description of FLe, we assert that in order to solve a problem, having complete information is not a critical need; however, with more information, the answers achieved become more specific. Furthermore, reasoning based on FLe has the advantage of being computationally less expensive in the analysis of a given problem and is faster

Keywords

, Extended fuzzy logic, Fuzzy logic, f-Transformation, S-answer, Validity
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@article{paperid:1042330,
author = {Sabahi, Farnaz and Akbarzadeh Totonchi, Mohammad Reza},
title = {A framework for analysis of extended fuzzy logic},
journal = {Frontiers of Information Technology and Electronic Engineering},
year = {2014},
volume = {15},
number = {7},
month = {April},
issn = {2095-9184},
pages = {584--591},
numpages = {7},
keywords = {Extended fuzzy logic; Fuzzy logic; f-Transformation; S-answer; Validity},
}

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%0 Journal Article
%T A framework for analysis of extended fuzzy logic
%A Sabahi, Farnaz
%A Akbarzadeh Totonchi, Mohammad Reza
%J Frontiers of Information Technology and Electronic Engineering
%@ 2095-9184
%D 2014

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