A Method to Construct an Extension of Fuzzy Information Granularity Based on Fuzzy Distance
Serdica Journal of Computing, Tome 10 (2016) no. 1, pp. 013-030
Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library
In fuzzy granular computing, a fuzzy granular structure is the collection of
fuzzy information granules and fuzzy information granularity is used to
measure the granulation degree of a fuzzy granular structure.
In general, the fuzzy information granularity characterizes discernibility ability
among fuzzy information granules in a fuzzy granular structure. In recent years,
researchers have proposed some concepts of fuzzy information granularity based
on partial order relations. However, the existing forms of fuzzy information granularity
have some limitations when evaluating the fineness/coarseness between two fuzzy
granular structures. In this paper, we propose an extension of fuzzy information
granularity based on a fuzzy distance measure.
We prove theoretically and experimentally that the proposed fuzzy information
granularity is the best one to distinguish fuzzy granular structures.
ACM Computing Classification System (1998): I.5.2, I.2.6.
Keywords:
Granular Computing, Fuzzy Granular Structure, Fuzzy Information Granule, Fuzzy Information Granularity, Fuzzy Distance
@article{SJC_2016_10_1_a1,
author = {Thien, Nguyen Van and Demetrovics, Janos and Thi, Vu Duc and Giang, Nguyen Long and Son, Nguyen Nhu},
title = {A {Method} to {Construct} an {Extension} of {Fuzzy} {Information} {Granularity} {Based} on {Fuzzy} {Distance}},
journal = {Serdica Journal of Computing},
pages = {013--030},
year = {2016},
volume = {10},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SJC_2016_10_1_a1/}
}
TY - JOUR AU - Thien, Nguyen Van AU - Demetrovics, Janos AU - Thi, Vu Duc AU - Giang, Nguyen Long AU - Son, Nguyen Nhu TI - A Method to Construct an Extension of Fuzzy Information Granularity Based on Fuzzy Distance JO - Serdica Journal of Computing PY - 2016 SP - 013 EP - 030 VL - 10 IS - 1 UR - http://geodesic.mathdoc.fr/item/SJC_2016_10_1_a1/ LA - en ID - SJC_2016_10_1_a1 ER -
%0 Journal Article %A Thien, Nguyen Van %A Demetrovics, Janos %A Thi, Vu Duc %A Giang, Nguyen Long %A Son, Nguyen Nhu %T A Method to Construct an Extension of Fuzzy Information Granularity Based on Fuzzy Distance %J Serdica Journal of Computing %D 2016 %P 013-030 %V 10 %N 1 %U http://geodesic.mathdoc.fr/item/SJC_2016_10_1_a1/ %G en %F SJC_2016_10_1_a1
Thien, Nguyen Van; Demetrovics, Janos; Thi, Vu Duc; Giang, Nguyen Long; Son, Nguyen Nhu. A Method to Construct an Extension of Fuzzy Information Granularity Based on Fuzzy Distance. Serdica Journal of Computing, Tome 10 (2016) no. 1, pp. 013-030. http://geodesic.mathdoc.fr/item/SJC_2016_10_1_a1/