A generalization of bags is proposed and fundamental operations are described. That is, a real-valued bag is proposed which is a straightforward generalization of the traditional bags, but is necessary for complementation, and s-norm and t-norm operations. We mainly describe how complementation and s-norms are related. As a result a duality theorem between s-norm and t-norm is obtained. R-bag r...

Automated reasoning is becoming crucial for information systems. Building one uniform decision support system has become too complicated. The natural approach to divide the task and combine results from different subsystems into answer. It basic idea behind approach, where solution a composition of multiple subsystems. In this paper, main emphasis on establishing theoretical framework that comb...

We introduce two novel frameworks for choice under complete uncertainty. These frameworks employ intervals to represent uncertain utility attaching to outcomes. In the first framework, utility intervals arising from one act with multiple possible outcomes are aggregated via a set-based approach. In the second framework the aggregation of utility intervals employs multisets. On the aggregated ut...

As most robust combinatorial min-max and min-max regret problems with discrete uncertainty sets are NP-hard, research into approximation algorithm and approximability bounds has been a fruitful area of recent work. A simple and wellknown approximation algorithm is the midpoint method, where one takes the average over all scenarios, and solves a problem of nominal type. Despite its simplicity, t...

Properties of fuzzy complementary preference relation have been studied. Based on the transformation between fuzzy complementary preference relation and reciprocal fuzzy preference relation, this paper proposes definitions of additive consistency for fuzzy complementary preference relation, gives the concepts of restricted max-min transitivity, restricted max-max transitivity and weak monotonic...

We present a method for testing the predictions of hadronic interaction models and improving their consistency with observed two-dimensional distributions depth shower maximum, $X_\text{max}$, signal at ground level as function zenith angle. The relies on assumption that mass composition is same all angles, while atmospheric development attenuation depend in correlated way. In work, each three ...

Classes The property isAbstract indicates that a given class specification cannot be instantiated directly. This construct mainly introduces a uniform treatment of related real-world things in problem analysis. According to our modelling experience, this adornment is often used when similar structural as well as behavioural features of classes are combined into a generalisation. The specialised...

In this paper, we study the finitely many constraints of fuzzy relation inequalities problem and optimize the linear objective function on this region which is defined with fuzzy max-Lukasiewicz operator. In fact Lukasiewicz t-norm is one of the four basic t-norms. A new simplification technique is given to accelerate the resolution of the problem by removing the components having no effect on ...

α-synuclein (αS) is a protein involved in neurotransmitter release in presynaptic terminals, and whose aberrant aggregation is associated with Parkinson's disease. In dopaminergic neurons, αS exists in a tightly regulated equilibrium between water-soluble and membrane-associated forms. Here we use a combination of solid-state and solution NMR spectroscopy to characterize the conformations of αS...