Lattice Expansion of Fuzzy Concepts

Document Type : Research Paper

Author

Trapeznikov Institute of Control Science Russian Academy of Sciences

Abstract

The concept of a fuzzy number is expanded to the case of a finite carrier set of partially ordered elements; the set is a lattice, and the membership function of such an expansion also takes values in a lattice. Zadeh's extension principle for determining the degree of membership of a function of fuzzy numbers is changed for this expansion. An analogue of the concept of a mean value is also suggested. The use of partially ordered values in cognitive maps with multiple expert assessments is considered.

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References

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Iranian Journal of Fuzzy Systems
Volume 20, Issue 4
July and August 2023
Pages 153-164

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