Preservation of properties of residuated algebraic structure by structures for the partial fuzzy set theory

Cao, Nhung; Štěpnička, Martin

doi:10.1016/j.ijar.2022.12.001

Cited by 5 publications

(1 citation statement)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This innovative approach addresses intricate decision-making scenarios with imprecise concepts and intricate parameter data, and the paper illustrates its fundamental set-theoretic operations through a pertinent example focused on enhancing reliability and authenticity. Another research by Cao and Štěpnička (2023) examined how to maintain the fundamental characteristics of repositioned lattice structures when using extended algebras for partial fuzzy set theory and partial fuzzy logic.…”

Section: Introductionmentioning

confidence: 99%

Revolutionizing Multi-Criteria Decision Making with the Triangular Fuzzy Geometry Bonferroni Mean Operator (TFGBM)

Hasnan

2024

Sci. Technol. Indones

View full text Add to dashboard Cite

This study investigates the Multi-Criteria Decision Making (MCDM) topic to address the complexities of decision processes involving ambiguous information. We introduce the Triangular Fuzzy Geometric Bonferroni Mean (TFGBM) operator, a novel aggregation technique inspired by the Geometric Bonferroni Mean (GBM) concept. This operator is intended to aggregate triangular fuzzy numbers within MCDM problems effectively. We thoroughly investigate the properties of TFGBM and its distinct forms to ensure its practical utility. We introduce the Triangular Fuzzy Geometric Weighted Bonferroni Mean (TFGWBM) operator to accommodate situations where input factors have variable degrees of significance. Based on this foundation, we present a comprehensive framework for decision-making involving multiple attributes in ambiguous triangular fuzzy environments. A relevant case study regarding selecting an optimal location for a Halal center demonstrates the efficacy and applicability of our methodology. We emphasize the tangibility and efficiency of the suggested methodology in improving decision-making processes by emphasizing this real-world application.

show abstract

Section: Introductionmentioning

confidence: 99%

Revolutionizing Multi-Criteria Decision Making with the Triangular Fuzzy Geometry Bonferroni Mean Operator (TFGBM)

Hasnan

2024

Sci. Technol. Indones

View full text Add to dashboard Cite

show abstract

Partial Fuzzy Relational Equations and the Dragonfly Operations – What Happens If...?

Cao,

Štěpnička

2023

Lecture Notes in Computer Science

View full text Add to dashboard Cite

Solvability of systems of partial fuzzy relational equations revisited – a short note

Cao,

Štěpnička

2024

Fuzzy Sets and Systems

View full text Add to dashboard Cite

Preservation of properties of residuated algebraic structure by structures for the partial fuzzy set theory

Cited by 5 publications

References 14 publications

Revolutionizing Multi-Criteria Decision Making with the Triangular Fuzzy Geometry Bonferroni Mean Operator (TFGBM)

Revolutionizing Multi-Criteria Decision Making with the Triangular Fuzzy Geometry Bonferroni Mean Operator (TFGBM)

Partial Fuzzy Relational Equations and the Dragonfly Operations – What Happens If...?

Solvability of systems of partial fuzzy relational equations revisited – a short note

Contact Info

Product

Resources

About