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Fuzzy Sets and Triangular Norms: Aggregation in Decision-Aided Intelligent Systems

Fuzzy aggregation for complex decisions

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AlbakiReads Editorial

Fuzzy aggregation for complex decisions

This edited volume connects fuzzy set theory and triangular norms with decision-aided intelligent systems. Its chapters examine aggregation operators and their use in combining data, assessing risk, and bringing together expert opinions, alongside extensions designed to represent uncertainty and hesitation. The applications range across tourism planning, smart-city services, water security, energy-facility siting, and emergency response. Methods including Lambert W-based operators, Choquet integral-based entropy, and fuzzy-machine-learning hybrids frame these cases as multi-criteria decision problems, with attention to sustainability and data-informed planning. The book moves between mathematical tools and applied settings, making aggregation the link between uncertainty modeling and practical decision support.

Good fit for readers who enjoy

  • Senior undergraduate and graduate students studying fuzzy set theory, operations research, or applied mathematics.
  • Researchers and practitioners working with multi-criteria decision making, data fusion, or risk analysis.
  • Readers in engineering, supply chain management, manufacturing, and public-service planning seeking uncertainty-aware decision methods.

Themes

Fuzzy set theory and triangular normsAggregation, data fusion, and expert judgmentUncertainty-aware multi-criteria decision makingSustainable planning and intelligent systems

Based on publisher information and book metadata.

Book overview

This book aims to serve as a comprehensive resource that equips readers with the knowledge and practical skills needed to navigate the intricacies of fuzzy set theory, t-norms, and their integration into decision-aided intelligent systems. It provides a comprehensive understanding of aggregation operators and their role in data fusion, risk analysis, and expert opinion aggregation.

  • New aggregation operators, entropy measures, t-norm, and t-conorm structures are developed across multiple fuzzy set extensions to better model uncertainty and hesitation in decision-making.
  • A wide range of real-world applications, including, tourism planning, smart cities, urban mobility, water security, smart campus automation, energy facility siting, and firefighting helicopter selection, are addressed using advanced multi-criteria decision making methods.
  • The chapters collectively emphasize sustainable, data-driven, and uncertainty-aware decision support, contributing solutions in areas such as environmental protection, resource optimization, public services, and technological infrastructure.
  • Innovative techniques, such as Lambert W-based aggregation operators, Choquet integral-based entropy, confidence-level aggregation, and fuzzy-machine learning hybrid models, improve the representation of interaction, ambiguity, and complexity in multi-criteria decision problems.

The text is primarily written for senior undergraduates, graduate students, and academic researchers in diverse fields including mathematics, industrial engineering, supply chain management, operations research, manufacturing engineering, production engineering, and applied mathematics.

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