Keywords: Fuzzy variable Independence Operation t-norm Convergence Law of large numbers a b s t r a c t T-independence of fuzzy variables is a more general concept than the classical independence. The objective of this study is to deal with some new properties of T-independent fuzzy variables. First of all, for any general t-norm, some criteria of T-independence are discussed for fuzzy variable...

Three definitions of fuzzy random variables (FRVs) have been cited in the current literature: the first is due to Kwakernaak (1978), who viewed a FRV as a vague perception of a crisp but unobservable RV; the second is due to Puri and Ralescu (1986), who regarded FRVs as random fuzzy sets; and the third is due to Liu and Liu (2003), whose notion of FRV was based on a concept they called a credib...

The Errors-in-Variables context is a challenging environment well known from many years that has seen an increasing amount of research and, consequently, of new results, only in relatively recent times. One of the appealing features of EIV models consists in their intrinsic capability of describing real processes and in relying only on limited sets of a–priori assumptions [24, 25]. These featur...

The symmetric group on 4 letters has the reflection group D3 as an isomorphic image. This fact follows from the coincidence of the root systems A3 and D3. The isomorphism is used to construct an orthogonal basis of polynomials of 4 variables with 2 parameters. There is an associated quantum Calogero–Sutherland model of 4 identical particles on the line.