operationto obtain richer order-theoretic structures. On binary relations induced from overlap and grouping functions 2019, International Journal of Approximate Reasoning Citation Excerpt : In 2017, Aşıcı [1] discussed an order induced by nullnorms on bounded lattices. Kesicioğlu et al. [...
except that the Burgers circuit must start and finish in the surface of the stacking fault; if the circuit started at any other position it would be necessary to cross the fault plane and the one-to-one correspondence of the circuits in the perfect and imperfect lattices would not be maintai...
We describethe Green relations onI∞λ, all (two-sided) ideals and all congruences of thesemigroupI∞λ. We prove that every Hausdorff hereditary Baire topologyτonI∞ωsuch that(I∞ω,τ)is a semitopological semigroup is discrete anddescribe the closure of the discrete semigroupI∞λin a...
An equivalence and two partial order relations on the set of generalized and periodic neighborhood sequences are shown on this grid. The first partial order, the “faster” relation, is based on distances defined by neighborhood sequences, and it does not provide a lattice but gives a ...
Such investigations address order relations between channels and their properties. One such order, named the degradation order (or Blackwell order) and defined next, was used by Kolchinsky to obtain a particular II measure [21]. Consider the distribution 𝑝(𝑦1,…,𝑦𝑛,𝑡) and the ...
Versions Notes Abstract This paper reveals some relations between fuzzy logic and quantum logic on partial residuated implications (PRIs) induced by partial t-norms as well as proposes partial residuated monoids (PRMs) and partial residuated lattices (PRLs) by defining partial adjoint pairs. First...
Versions Notes Abstract Partial information decomposition (PID) separates the contributions of sources about a target into unique, redundant, and synergistic components of information. In essence, PID answers the question of “who knows what” of a system of random variables and hence has applications...
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The path-based redundancy satisfies the axioms postulated by Williams and Beer, the identity axiom postulated by Harder, and the left monotonicity axiom postulated Bertschinger. The ordering relations between redundancies of different joint collections of sources, as captured in the redundancy lattices ...
The path-based redundancy satisfies the axioms postulated by Williams and Beer, the identity axiom postulated by Harder, and the left monotonicity axiom postulated Bertschinger. The ordering relations between redundancies of different joint collections of sources, as captured in the redundancy lattices ...