Measures of embedding for interval-valued fuzzy sets

被引：9

作者：

Bouchet, Agustina ^{[1
]}

Sesma-Sara, Mikel ^{[2
]}

Ochoa, Gustavo ^{[2
]}

Bustince, Humberto ^{[2
]}

Montes, Susana ^{[1
]}

Diaz, Irene ^{[3
]}

机构：

[1] Univ Oviedo, Dept Stat & Operat Res & Math Didact, Oviedo, Spain

[2] Univ Publ Navarra, Dept Stat Informat & Math, Pamplona, Spain

[3] Univ Oviedo, Dept Comp Sci, Oviedo, Spain

来源：

FUZZY SETS AND SYSTEMS | 2023年 / 467卷

关键词：

Interval-valued fuzzy sets; Embedding; Inclusion; INCLUSION; ENTROPY; AGGREGATION;

D O I：

10.1016/j.fss.2023.03.008

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Interval-valued fuzzy sets are a generalization of classical fuzzy sets where the membership values are intervals. The epistemic interpretation of interval-valued fuzzy sets assumes that there is one real-valued membership degree of an element within the membership interval of possible membership degrees. Considering this epistemic interpretation, we propose a new measure, called IV-embedding, to compare the precision of two interval-valued fuzzy sets. An axiomatic definition for this concept as well as a con-struction method are provided. The construction method is based on aggregation operators and the concept of interval embedding, which is also introduced and deeply studied.& COPY; 2023 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http:// creativecommons .org /licenses /by -nc -nd /4 .0/).

引用

页数：20

共 40 条

[1]

[Anonymous], 2010, INT C FUZZY SYSTEMS

[2]

Baczynski M, 2008, STUD FUZZ SOFT COMP, V231, P1

[3]

Beliakov G, 2016, STUD FUZZ SOFT COMP, V329, P1, DOI 10.1007/978-3-319-24753-3

[4]

Beliakov G., 2007, AGGREGATION FUNCTION

[5] Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets [J].

Burillo, P ;

Bustince, H .

FUZZY SETS AND SYSTEMS, 1996, 78 (03) :305-316

[6] Similarity between interval-valued fuzzy sets taking into account the width of the intervals and admissible orders [J].

Bustince, H. ;

Marco-Detchart, C. ;

Fernandez, J. ;

Wagner, C. ;

Garibaldi, J. M. ;

Takac, Z. .

FUZZY SETS AND SYSTEMS, 2020, 390 :23-47

[7] Indicator of inclusion grade for interval-valued fuzzy sets. Application to approximate reasoning based on interval-valued fuzzy sets [J].

Bustince, H .

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2000, 23 (03) :137-209

[8] A Historical Account of Types of Fuzzy Sets and Their Relationships [J].

Bustince, Humberto ;

Barrenechea, Edurne ;

Pagola, Miguel ;

Fernandez, Javier ;

Xu, Zeshui ;

Bedregal, Benjamin ;

Montero, Javier ;

Hagras, Hani ;

Herrera, Francisco ;

De Baets, Bernard .

IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2016, 24 (01) :179-194

[9] The best interval representations of t-norms and automorphisms [J].

Callejas Bedregal, Benjamin Rene ;

Takahashi, Adriana .

FUZZY SETS AND SYSTEMS, 2006, 157 (24) :3220-3230

[10] A MEDICAL DIAGNOSIS BASED ON INTERVAL-VALUED FUZZY SETS [J].

Choi, Hye Mi ;

Mun, Gil Seong ;

Ahn, Jeong Yong .

BIOMEDICAL ENGINEERING-APPLICATIONS BASIS COMMUNICATIONS, 2012, 24 (04) :349-354

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