@article{ART001641504},
author={양명섭 and DongEun Lee and Cho, Sang Yeop},
title={Similarity Measure Between Interval-valued Vague Sets Using Gravities, Spreads, Heights, and Similarities},
journal={Journal of Knowledge Information Technology and Systems},
issn={1975-7700},
year={2012},
volume={7},
number={1},
pages={93-100}
TY - JOUR
AU - 양명섭
AU - DongEun Lee
AU - Cho, Sang Yeop
TI - Similarity Measure Between Interval-valued Vague Sets Using Gravities, Spreads, Heights, and Similarities
JO - Journal of Knowledge Information Technology and Systems
PY - 2012
VL - 7
IS - 1
PB - Korea Knowledge Information Technology Society
SP - 93
EP - 100
SN - 1975-7700
AB - In this paper, we propose a similarity measure between interval-valued vague sets. The proposed method considers the similarity of the gravities between interval-value vague sets, the difference of the spreads, the heights, and the degree of similarities between interval-valued vague sets. In conventional researches on similarity measures, those have studied on the degree of match between the antecedents in rules and facts, similarity measure based on level average integration, similarity measure based on geometric concept, similarity measure based on geometric distance and COG points, similarity measure based on geometric distance, perimeters, similarity measure between the interval-valued trapezoidal fuzzy numbers, and heights, and similarity measure between interval-valued vague sets based on COG, spreads, and heights. The interval-valued vague sets are a kind of the fuzzy sets of which the upper bound and the lower bound are represented as the intervals of the interval-valued fuzzy sets respectively. We also prove three properties of the proposed similarity measure: 1) Two interval-value vague sets A and B are identical iif =1, 2) =, 3) If A and B are real numbers, then =. Let interval-valued vague sets A and B. It provides a useful way to deal with similarity measure between interval-valued vague sets in fuzzy systems, fuzzy decision making systems, fuzzy reliability analysis.
KW - Similarity Measures;Gravities;Spreads;Heights;Interval-valued Vague Sets
DO -
UR -
ER -
양명섭, DongEun Lee and Cho, Sang Yeop. (2012). Similarity Measure Between Interval-valued Vague Sets Using Gravities, Spreads, Heights, and Similarities. Journal of Knowledge Information Technology and Systems, 7(1), 93-100.
양명섭, DongEun Lee and Cho, Sang Yeop. 2012, "Similarity Measure Between Interval-valued Vague Sets Using Gravities, Spreads, Heights, and Similarities", Journal of Knowledge Information Technology and Systems, vol.7, no.1 pp.93-100.
양명섭, DongEun Lee, Cho, Sang Yeop "Similarity Measure Between Interval-valued Vague Sets Using Gravities, Spreads, Heights, and Similarities" Journal of Knowledge Information Technology and Systems 7.1 pp.93-100 (2012) : 93.
양명섭, DongEun Lee, Cho, Sang Yeop. Similarity Measure Between Interval-valued Vague Sets Using Gravities, Spreads, Heights, and Similarities. 2012; 7(1), 93-100.
양명섭, DongEun Lee and Cho, Sang Yeop. "Similarity Measure Between Interval-valued Vague Sets Using Gravities, Spreads, Heights, and Similarities" Journal of Knowledge Information Technology and Systems 7, no.1 (2012) : 93-100.
양명섭; DongEun Lee; Cho, Sang Yeop. Similarity Measure Between Interval-valued Vague Sets Using Gravities, Spreads, Heights, and Similarities. Journal of Knowledge Information Technology and Systems, 7(1), 93-100.
양명섭; DongEun Lee; Cho, Sang Yeop. Similarity Measure Between Interval-valued Vague Sets Using Gravities, Spreads, Heights, and Similarities. Journal of Knowledge Information Technology and Systems. 2012; 7(1) 93-100.
양명섭, DongEun Lee, Cho, Sang Yeop. Similarity Measure Between Interval-valued Vague Sets Using Gravities, Spreads, Heights, and Similarities. 2012; 7(1), 93-100.
양명섭, DongEun Lee and Cho, Sang Yeop. "Similarity Measure Between Interval-valued Vague Sets Using Gravities, Spreads, Heights, and Similarities" Journal of Knowledge Information Technology and Systems 7, no.1 (2012) : 93-100.