We study Markov multi-maps of the interval from point view topological dynamics. Specifically, we define forward trajectory system a multi-map, and investigate whether it has properties such as transitivity, mixing, density periodic points, specification. To each multi-map associate shift finite type (SFT), our main results relate SFT with those system. Under general coding condition, establish...

b) moderate stochastic transitivity: For a reciprocal fuzzy relation Q : x2 + [O, 11 on a finite set of alternatives X , we introduce the concept of U-transitivity which is based upon the ordering of the matrix elements qij, qjk and qki of Q for all triples of indices i, j and k. We show that U-transitivity generalizes both stochastic and fuzzy transitivity. The U-transitivity of the secalled u...

Recently, we introduced the framework of cycletransitivity as a general means of representing transitivity conditions on reciprocal relations. In this framework, for reciprocal relations, the concepts of T -transitivity and stochastic transitivity can be cast. The upper bound functions encountered in this framework for product-transitivity and dice-transitivity, conceptually related to the prob...

1 Glossary Attractor An invariant subset for a dynamical system such that points sufficiently close to the set remain close and approach the set in the limit as time tends to infinity. Dynamical System A model for the motion of a system through time. The time variable is either discrete, varying over the integers, or continuous, taking real values. Our systems are deterministic, rather than sto...

We examine properties of binary relations that complement quasi-transitivity and Suzumura consistency in the sense that they, together with the original axiom(s), are equivalent to transitivity. In general, the conjunction of quasi-transitivity and Suzumura consistency is strictly weaker than transitivity but in the case of collective choice rules that satisfy further properties, the conjunctio...

We introduce a new decision procedure for Equality Logic. The procedure improves on Bryant and Velev’s sparse method [4] from CAV’00, in which each equality predicate is encoded with a Boolean variable, and then a set of transitivity constraints are added to compensate for the loss of transitivity of equality. We suggest the Reduced Transitivity Constraints (RTC) algorithm, that unlike the spar...

We introduce a new decision procedure for Equality Logic. The procedure improves on Bryant and Velev’s sparse method [4] from CAV’00, in which each equality predicate is encoded with a Boolean variable, and then a set of transitivity constraints are added to compensate for the loss of transitivity of equality. We suggest the Reduced Transitivity Constraints (rtc) algorithm, that unlike the spar...

The current study analyzes international newspapers headlines depicting Russia attack on Ukraine. Different worldwide were chosen to highlight the embedded ideologies by applying Halliday’s transitivity system as a research instrument. researcher analyzed lexical choices and linguistic devices used in represent Putin war between He investigated way language is newspapers’ headline create emotio...

Trust can be used to improve online automated recommendation within a given domain. Trust transitivity is used to make it successful. But trust transitivity has different interpretations. Trust and trust transitivity; both are the human mental phenomenon and for this reason, there is no such thing as objective transitivity. Trust transitivity and trust fusion both are important elements in comp...