Structure of (weakly associative) micanorms

Eunsuk Yang

doi:10.1007/s00500-024-09915-5

Structure of (weakly associative) micanorms

Eunsuk Yang^*

^*Corresponding author for this work

Department of Philosophy

Research output: Contribution to journal › Journal article › peer-review

Abstract

Yang introduced binary MICA (Monotonic Identity Commutative Aggregation) operations called micanorms and micanorms with three weak forms of associativity. This paper investigates general and specific structure of those micanorms. For this, we first recall (weakly associative) micanorms introduced by Yang. Next, we introduce a construction to characterize those micanorms in general. Finally, we consider similar constructions to specify them together with some examples to illustrate those constructions.

Original language	English
Pages (from-to)	11717-11728
Number of pages	12
Journal	Soft Computing
Volume	28
Issue number	20
DOIs	https://doi.org/10.1007/s00500-024-09915-5
State	Published - 2024.10

Keywords

Micanorm
t-conorm
t-norm
Uninorm
wa-uninorm

Quacquarelli Symonds(QS) Subject Topics

Computer Science & Information Systems
Mathematics

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10.1007/s00500-024-09915-5

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title = "Structure of (weakly associative) micanorms",

abstract = "Yang introduced binary MICA (Monotonic Identity Commutative Aggregation) operations called micanorms and micanorms with three weak forms of associativity. This paper investigates general and specific structure of those micanorms. For this, we first recall (weakly associative) micanorms introduced by Yang. Next, we introduce a construction to characterize those micanorms in general. Finally, we consider similar constructions to specify them together with some examples to illustrate those constructions.",

keywords = "Micanorm, t-conorm, t-norm, Uninorm, wa-uninorm",

author = "Eunsuk Yang",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.",

year = "2024",

month = oct,

doi = "10.1007/s00500-024-09915-5",

language = "English",

volume = "28",

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journal = "Soft Computing",

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T1 - Structure of (weakly associative) micanorms

AU - Yang, Eunsuk

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.

PY - 2024/10

Y1 - 2024/10

N2 - Yang introduced binary MICA (Monotonic Identity Commutative Aggregation) operations called micanorms and micanorms with three weak forms of associativity. This paper investigates general and specific structure of those micanorms. For this, we first recall (weakly associative) micanorms introduced by Yang. Next, we introduce a construction to characterize those micanorms in general. Finally, we consider similar constructions to specify them together with some examples to illustrate those constructions.

AB - Yang introduced binary MICA (Monotonic Identity Commutative Aggregation) operations called micanorms and micanorms with three weak forms of associativity. This paper investigates general and specific structure of those micanorms. For this, we first recall (weakly associative) micanorms introduced by Yang. Next, we introduce a construction to characterize those micanorms in general. Finally, we consider similar constructions to specify them together with some examples to illustrate those constructions.

KW - Micanorm

KW - t-conorm

KW - t-norm

KW - Uninorm

KW - wa-uninorm

UR - https://www.scopus.com/pages/publications/85201316095

U2 - 10.1007/s00500-024-09915-5

DO - 10.1007/s00500-024-09915-5

M3 - Journal article

AN - SCOPUS:85201316095

SN - 1432-7643

VL - 28

SP - 11717

EP - 11728

JO - Soft Computing

JF - Soft Computing

IS - 20

ER -

Structure of (weakly associative) micanorms

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

Access to Document

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