Our work is a contribution to the model-theoretic study of equality-free fuzzy predicate logics. We give a characterization of elementary equivalence in fuzzy predicate logics using elementary extensions and introduce an strengthening of this notion, the so-called strong elementary equivalence. Using the method of diagrams developed in [5] and elementary extensions we present a counterexample t...

This paper studies T -preorders by using their Representation Theorem that states that every T -preorder on a set X can be generated in a natural way by a family of fuzzy subsets of X . Especial emphasis is made on the study of onedimensional T -preorders (i.e.: T -preorders that can be generated by only one fuzzy subset). Strong complete T -preorders are characterized.

We study the quantum analogue of primary fields and their descendants on fuzzy AdS2, proposed in hep-th/0004072. Three-point vertices are calculated and shown to exhibit the conventional 1/N expansion as well as nonperturtive effects in large N , thus providing a strong consistency check of the fuzzy AdS2 model. A few new physical motivations for this model are also presented.

The paper presents quite general weak and strong laws of large numbers for weighted sums of triangular arrays of random fuzzy sets. The proofs of the results rely on an appropriate identification of random fuzzy sets with random elements in Banach spaces which satisfy a useful convexity property.

Researchers in the field of portfolio optimization made efforts to decrease uncertainty future returns. Any disturbance parameter values causes solution be non-optimal or impossible. This study designs a strong fuzzy-multipurpose model for stock based on Tehran Stock Exchange market data. At end paper, created is compared with results multi-objective model. The show that fuzzy has relative stab...

Fuzzy extractors are used to generate reliably reproducible randomness from a biased, noisy source. Known constructions of fuzzy extractors are built from a strong extractor, and a secure sketch, a function that transforms a biased noisy secret value into a public value, simultaneously hiding the secret and allowing for error correction. A robust sketch is secure against adversarial modificatio...

Propositional Product Logic is known to be standard finite-strong complete but not a strong complete, that is, it is complete for deductions only from finite sets of premises with respect to evaluations on the standard product chain over the real unit interval. On the other hand, Montagna has defined a logical system, an axiomatic extension of the Hájek’s Basic Fuzzy Logic BL with an storage op...

In this paper we prove strong completeness of axiomatic extensions of first-order strict core fuzzy logics with the so-called quasi-witnessed axioms with respect to quasi-witnessed models. As a consequence we obtain strong completeness of Product Predicate Logic with respect to quasi-witnessed models, already proven by M.C. Laskowski and S. Malekpour in [19]. Finally we study similar problems f...

This paper provides a new generalization of fuzzy finite state machines, fuzzy transformation semigroups and their relationship. Consider a cubic structure, we introduce cubic finite state machines, cubic transformation semigroups, cubic successor, cubic exchange properties cubic subsystems, cubic submachines, cubic q-twins, cubic retrievable and study fundamental properties of them. We provide...

In this paper fuzzy hypersphere neural network (FHSNN) is proposed with its learning algorithm, which is used for rotation invariant handwaritten character recognition. The FHSNN utilizes fuzzy sets as pattern classes in which each fuzzy set is an union of fuzzy set hyperspheres. The fuzzy set hypersphere is an ndimensional hypersphere defined by a center point and radius with its membership fu...