Complex nth power root fuzzy sets: Theory, and applications for multi-attribute decision making in uncertain environments. [PDF]
PLoS ONEThe newly introduced nth power root fuzzy set is a useful tool for expressing ambiguity and vagueness. It has an improved ability to manage uncertain situations compared to intuitionistic fuzzy set and Pythagorean fuzzy set theories, making nth power ...
Hariwan Z Ibrahim +3 more
doaj +2 more sources
Games over Probability Distributions Revisited: New Equilibrium Models and Refinements
Games, 2022 This article is an overview of recent progress on a theory of games, whose payoffs are probability distributions rather than real numbers, and which have their equilibria defined and computed over a (suitably restricted yet dense) set of distributions ...
Stefan Rass +2 more
doaj +1 more source
Mathematics, 2020 The aim of this paper is to present the novel concept of Complex q-rung orthopair fuzzy set (Cq-ROFS) which is a useful tool to cope with unresolved and complicated information.
Harish Garg +3 more
doaj +1 more source
Decision-Making Modeling in Agro-Food Systems Using Type-2 Interval-Valued Linguistic Complex Neutrosophic Sets [PDF]
Neutrosophic Sets and SystemsNeutrosophic sets are a strong mathematical framework for representing decision-making uncertainty, ambiguity, and indeterminacy. They have three separate membership functions: truth (T), falsity (F), and indeterminacy.
R. K. Saini +3 more
doaj +1 more source
On Hilbert extensions of Weierstrass' theorem with weights [PDF]
, 2008 In this paper we study the set of functions $\GG$-valued which can be approximated by $\GG$-valued continuous functions in the norm $L^\infty_{\GG}(I,w)$, where $I$ is a compact interval, $\GG$ is a real and separable Hilbert space and $w$ is certain ...
Quintana, Yamilet
core +5 more sources
Wave polynomials, transmutations and Cauchy's problem for the Klein-Gordon equation [PDF]
, 2012 We prove a completeness result for a class of polynomial solutions of the wave equation called wave polynomials and construct generalized wave polynomials, solutions of the Klein-Gordon equation with a variable coefficient.
Barrodale +44 more
core +1 more source
Pontryagin de Branges Rovnyak spaces of slice hyperholomorphic functions [PDF]
, 2012 We study reproducing kernel Hilbert and Pontryagin spaces of slice hyperholomorphic functions which are analogs of the Hilbert spaces of analytic functions introduced by de Branges and Rovnyak.
Alpay, Daniel +2 more
core +4 more sources
Presence or absence of analytic structure in maximal ideal spaces [PDF]
, 2014 We study extensions of Wermer's maximality theorem to several complex variables. We exhibit various smoothly embedded manifolds in complex Euclidean space whose hulls are non-trivial but contain no analytic disks.
Izzo, Alexander J. +2 more
core +1 more source
Positive and generalized positive real lemma for slice hyperholomorphic functions [PDF]
, 2018 In this paper we prove a quaternionic positive real lemma as well as its generalized version, in case the associated kernel has negative squares for slice hyperholomorphic functions.
Alpay, D. +3 more
core +3 more sources
Boundedly finite measures: Separation and convergence by an algebra of functions
, 2016 We prove general results about separation and weak$^\#$-convergence of boundedly finite measures on separable metric spaces and Souslin spaces. More precisely, we consider an algebra of bounded real-valued, or more generally a $*$-algebra $\mathcal{F ...
Löhr, Wolfgang, Rippl, Thomas
core +1 more source