Nour Ammar and László T. Kóczy

Fuzzy Linguistic Signatures  

Fuzzy Linguistic Signatures (FLS) extend the concept of Fuzzy Signatures (FSigs) by introducing linguistic variables as qualitative descriptors within a hierarchical fuzzy structure. Although fuzzy signatures have been successfully applied in various domains, their reliance on numerical membership degrees limits their ability to model subjective or linguistically defined information. This paper establishes a formal mathematical frame-work for FLS by defining a family of fuzzy linguistic signatures equipped with suitable linguistic aggregation operators and a partial ordering relation among linguistic values. Furthermore, meet-and-join operators are introduced to demonstrate that FLS satisfies the properties of a lattice as an algebraic structure. Consequently, fuzzy linguistic signatures provide an expressive representational framework capable of handling qualitative, human-like reasoning. 

Reference:

DOI: 10.36244/ICJ.2026.1.5

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Please cite this paper the following way:

Nour Ammar and László T. Kóczy, "Fuzzy Linguistic Signatures", Infocommunications Journal, Vol. XVIII, No 1, March 2026, pp. 43-52., https://doi.org/10.36244/ICJ.2026.1.5