4.7 Article

Revisiting type-2 triangular norms on normal convex fuzzy truth values

Related references

Note: Only part of the references are listed.
Article Computer Science, Theory & Methods

On union and intersection of type-2 fuzzy sets not expressible by the sup-t-norm extension principle

Xinxing Wu et al.

Summary: This paper addresses an open problem posed by Hernandez et al. in 2015 by constructing conjunction and disjunction operators for type-2 fuzzy sets that cannot be expressed using the sup-t-norm extension principle. The duality of set-theoretic operations on type-1 fuzzy sets is used to obtain the duality of set-theoretic operators for type-2 fuzzy sets.

FUZZY SETS AND SYSTEMS (2022)

Article Computer Science, Artificial Intelligence

The Idempotency of Convolution Operations on Fuzzy Truth Values

Wei Zhang et al.

Summary: This article investigates the idempotency of convolution operations on fuzzy truth values and provides an equivalent characterization of it.

IEEE TRANSACTIONS ON FUZZY SYSTEMS (2022)

Article Computer Science, Theory & Methods

Distributivity between extended t-norms and t-conorms on fuzzy truth values

Zhi-qiang Liu et al.

Summary: This paper focuses on the distributive laws between extended t-norms and t-conorms on fuzzy truth values under certain conditions, and further examines the distributive laws between extended uninorms and t-norms, as well as between extended uninorms and t-conorms.

FUZZY SETS AND SYSTEMS (2021)

Article Computer Science, Artificial Intelligence

The Distributive Laws of Convolution Operations Over Meet-Convolution and Join-Convolution on Fuzzy Truth Values

Wei Zhang et al.

Summary: This article investigates the distributive laws of convolution operations over meet-convolution and join-convolution. It first considers whether the distributive laws hold for various subsets of the set of all fuzzy truth values, then discusses the distributive laws for specific convolution operations, and finally gives necessary and sufficient conditions for the distributive laws between join-convolution and meet-convolution.

IEEE TRANSACTIONS ON FUZZY SYSTEMS (2021)

Article Computer Science, Artificial Intelligence

On the Extensions of Overlap Functions and Grouping Functions to Fuzzy Truth Values

Zhi-qiang Liu et al.

Summary: This article explores Z-extended overlap functions and grouping functions on fuzzy truth values, examining their properties and conditions for satisfying distributive laws.

IEEE TRANSACTIONS ON FUZZY SYSTEMS (2021)

Article Computer Science, Artificial Intelligence

A characterization for some type-2 fuzzy strong negations

S. Cubillo et al.

KNOWLEDGE-BASED SYSTEMS (2020)

Article Computer Science, Information Systems

Answering an open problem on t-norms for type-2 fuzzy sets

Xinxing Wu et al.

INFORMATION SCIENCES (2020)

Article Computer Science, Artificial Intelligence

Distributivity between extended nullnorms and uninorms on fuzzy truth values

Xue-ping Wang et al.

INTERNATIONAL JOURNAL OF APPROXIMATE REASONING (2020)

Article Computer Science, Artificial Intelligence

New Negations on the Membership Functions of Type-2 Fuzzy Sets

Carmen Torres-Blanc et al.

IEEE TRANSACTIONS ON FUZZY SYSTEMS (2019)

Article Computer Science, Theory & Methods

Note on the absorption laws in the algebra of truth values of type-2 fuzzy sets

Wei Zhang et al.

FUZZY SETS AND SYSTEMS (2018)

Article Computer Science, Theory & Methods

On the extension of nullnorms and uninorms to fuzzy truth values

Aifang Xie

FUZZY SETS AND SYSTEMS (2018)

Article Computer Science, Theory & Methods

Convolution lattices

L. De Miguel et al.

FUZZY SETS AND SYSTEMS (2018)

Article Computer Science, Information Systems

Notes on type-2 triangular norms and their residual operators

Bo Zhang

INFORMATION SCIENCES (2016)

Article Computer Science, Artificial Intelligence

On T-Norms for Type-2 Fuzzy Sets

Pablo Hernandez et al.

IEEE TRANSACTIONS ON FUZZY SYSTEMS (2015)

Article Computer Science, Information Systems

Notes on aggregation of fuzzy truth values

Chun Yong Wang

INFORMATION SCIENCES (2015)

Article Computer Science, Information Systems

Type-2 triangular norms and their residual operators

Li Dechao

INFORMATION SCIENCES (2015)

Article Computer Science, Information Systems

Generalized aggregation of fuzzy truth values

Chun Yong Wang

INFORMATION SCIENCES (2015)

Article Computer Science, Artificial Intelligence

Partial Orders on Fuzzy Truth Value Algebras

John Harding et al.

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS (2015)

Article Computer Science, Information Systems

Aggregation of fuzzy truth values

Zdenko Takac

INFORMATION SCIENCES (2014)

Article Computer Science, Theory & Methods

Convex normal functions revisited

John Harding et al.

FUZZY SETS AND SYSTEMS (2010)

Article Computer Science, Information Systems

Extended triangular norms

Janusz T. Starczewski

INFORMATION SCIENCES (2009)

Article Computer Science, Theory & Methods

Lattices of convex normal functions

John Harding et al.

FUZZY SETS AND SYSTEMS (2008)

Article Computer Science, Artificial Intelligence

AUTOMORPHISMS OF THE ALGEBRA OF FUZZY TRUTH VALUES II

Carol L. Walker et al.

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS (2008)

Article Computer Science, Artificial Intelligence

Automorphisms of the algebra of fuzzy truth values

Carol L. Walker et al.

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS (2006)

Article Computer Science, Theory & Methods

The algebra of fuzzy truth values

CL Walker et al.

FUZZY SETS AND SYSTEMS (2005)