Hybrid decision support system disaster management: application of lattice ordered q-rung linear Diophantine fuzzy hypersoft sets
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View abstract on PubMed
Summary
This summary is machine-generated.This study introduces the lattice-ordered q-rung linear Diophantine fuzzy hypersoft set, a novel extension of fuzzy set theory. It presents operations and an algorithm for multi-attribute decision-making, particularly in disaster management.
Area Of Science
- Fuzzy Set Theory
- Decision Making
- Computer Science
Background
- Fuzzy set theory is a cornerstone of uncertainty modeling.
- Existing decision-making models face challenges with complex, multi-attribute problems.
Purpose Of The Study
- To introduce the lattice-ordered q-rung linear Diophantine fuzzy hypersoft set.
- To define fundamental algebraic operations for this new set structure.
- To develop and validate an algorithm for multi-attribute decision-making in disaster management.
Main Methods
- Definition of the lattice-ordered q-rung linear Diophantine fuzzy hypersoft set.
- Description of algebraic operations: restricted union, extended union, restricted intersection, OR, and AND operations.
- Development of a decision-making algorithm using these operations.
Main Results
- The proposed set structure and its operations are mathematically defined with examples.
- A novel algorithm effectively handles multi-attribute decision-making problems.
- Demonstrated superior performance in a disaster management case study compared to existing methods.
Conclusions
- The lattice-ordered q-rung linear Diophantine fuzzy hypersoft set offers a powerful extension to fuzzy set theory.
- The developed algorithm provides an efficient and scalable solution for complex decision-making scenarios.
- The approach shows significant advantages in practical applications like disaster management.
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