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M űveletek fuzzy halmazokon

This article explores the use of fuzzy operations in systems, including t-norms, t-conorms, uninorms, and aggregation operators. It covers algebraic aspects, representation theorems, and distance-based operations. MATLAB programming is used for visualizing these operations.

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M űveletek fuzzy halmazokon

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  1. Műveletek fuzzy halmazokon

  2. Experts are confident in using special types of operations in fuzzy systems, such as t-norms, t-conorms, uninorms, and more generally, aggregation operators, and researchers are more and more meticulous in providing exact mathematical definitions for those

  3. t-norm

  4. t-conorm

  5. Duality

  6. The basic t-norms and conorms

  7. Continuity

  8. Algebraic aspects

  9. Representation theorems for basic operations

  10. Aggregation operators

  11. Uninorms

  12. Structure of the uninorm 1 SU U e U TU e 1

  13. minn Representable uninorms • The structure of the left-continuous conjunctive idempotent uninorm

  14. max • The structure of the right-continuous disjunctive idempotent uninorm

  15. 2. Distance based operations • Absorbing norms • Distance based operators

  16. Absorbing norms

  17. Structure of absorbing norm ASTmin 1 T min a min S a 1

  18. The maximum distance minimum operator with respect to e]0,1] is defined as function where

  19. the maximum distance maximum operator with respect to is defined as function

  20. the minimum distance minimum operator with respect to is defined asfunction

  21. the minimum distance maximum operator with respect to is defined asfunction

  22. Modified Distance-based Operators for residual implications of uninorms

  23. Ábrázoljuk 2D és 3D formában a jellemző fuzzy múveleteket. Használjuk a MATLAB programot!

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