Intervals are related to the representation of uncertainty. In this sense, we introduce an integral of Gould type for an interval-valued multifunction relative to an interval-valued set multifunction, with respect to Guo and Zhang order relation. Classicaland specific properties of this new type of integral are established and several examples and applications from multicriteria decision making...

in this paper we study the relationships existing between total measurability in variation and gould type fuzzy integrability (introduced and studied in [21]), giving a special interest on their behaviour on atoms and on finite unions of disjoint atoms. we also establish that any continuous real valued function defined on a compact metric space is totally measurable in the variation of a regula...

We give a q-analogue of some Dixon-like summation formulas obtained by Gould and Quaintance [Fibonacci Quart. 48 (2010), 56–61] and Chu [Integral Transforms Spec. Funct. 23 (2012), 251–261], respectively. For example, we prove that

The main goal of this article is to explore a new type polynomials, specifically the Gould-Hopper-Laguerre-Sheffer matrix through operational techniques. generating function and representations for family polynomials will be established. In addition, these specific are interpreted in terms quasi-monomiality. extended versions introduced, their characteristics explored using integral transform. ...

The representation of sums in closed form can in some cases be achieved through a variety of different methods, including transform techniques, W–Z methods, Riordan arrays and integral representations. The interested reader is referred to the works of Egorychev [2], Gould [3], Merlini, Sprugnoli and Verri [4], Petkovšek, Wilf and Zeilberger [5] and Sofo [6], [7] and [8]. Recently Diaz-Barrero e...

Gould’s Structure of Evolutionary Theory argues that Darwinism has undergone significant revision. Although Gould succeeds in showing that hierarchical approaches have expanded Darwinism, his critique of adaptationism is less successful. Gould claims that the ubiquity of developmental constraints and spandrels has forced biologists to soften their commitment to adaptationism. I argue that Gould...

We define a general concept of pseudo algebras over theories and 2-theories. A more restrictive such notion was introduced in [5], but as noticed by M. Gould, did not capture the desired examples. The approach taken in this paper corrects the mistake by introducing a more general concept, allowing more flexibility in selecting coherence diagrams for pseudo algebras.

In this paper we study the relationships existing between total measurability in variation and Gould type fuzzy integrability (introduced and studied in [21]), giving a special interest on their behaviour on atoms and on finite unions of disjoint atoms. We also establish that any continuous real valued function defined on a compact metric space is totally measurable in the variation of a regula...