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Fuzzy ordered linear spaces, Riesz spaces, fuzzy Archimedean spaces and $\sigma$-complete fuzzy Riesz spaces were defined and studied in several works. Following the efforts along this line, we define fuzzy Riesz subspaces, fuzzy ideals,…

泛函分析 · 数学 2015-03-11 Liang Hong

The hermitian analog of Aleksandrov's area measures of convex bodies is investigated. A characterization of those area measures which arise as the first variation of unitarily invariant valuations is established. General smooth area…

微分几何 · 数学 2013-07-16 Thomas Wannerer

Within the Heisenberg's uncertainty principle it is explicitly discussed the impact of these inequalities on the theory of integrated photonics at sub-wavelength regime. More especially, the uncertainty of the effective index values in…

量子物理 · 物理学 2016-04-04 Bruno Bêche , E Gaviot

In this paper, we have introduced the concept of $\left( \in ,\in \vee q\right) $-fuzzy ideals in a right modular groupoid. We have discussed several important features of a completely regular right modular groupoid by using the $\left( \in…

群论 · 数学 2010-10-19 Madad Khan , Shamas-ur-Rehman

In this paper, we introduce the concept of Inhomogeneous sub-self-similar (ISSS) sets, building upon the foundations laid by Falconer (Trans. Amer. Math. Soc. 347 (1995) 3121-3129) in the study of sub-self-similar sets and drawing…

动力系统 · 数学 2026-01-29 Shivam Dubey , Saurabh Verma

A suitable interpolation method is essential to keep the noise level minimum along with the time-delay. In recent years, many different interpolation filters have been developed for instance H.264-6 tap filter, and AVS- 4 tap filter. The…

计算机视觉与模式识别 · 计算机科学 2015-01-14 Arbaaz Singh Sidhu

This is the second installment of a series of papers aimed at developing a theory of Hrushovski-Kazhdan style motivic integration for certain types of nonarchimedean $o$-minimal fields, namely power-bounded $T$-convex valued fields, and…

逻辑 · 数学 2018-08-23 Yimu Yin

This paper provides an in-depth review of the optimal design of type-1 and type-2 fuzzy inference systems (FIS) using five well known computational frameworks: genetic-fuzzy systems (GFS), neuro-fuzzy systems (NFS), hierarchical fuzzy…

人工智能 · 计算机科学 2019-08-28 Varun Ojha , Ajith Abraham , Vaclav Snasel

We provide formulae for the $\varepsilon$-subdifferential of the integral function $ I_f(x):=\int_T f(t,x) d\mu(t), $ where the integrand $f:T\times X \to [-\infty,+\infty]$ is measurable in $(t,x)$ and convex in $x$. The state variable…

最优化与控制 · 数学 2019-09-09 Rafael Correa , Abderrahim Hantoute , Pedro Pérez-Aros

We propose a matrix model for two- and many-valued logic using families of observables in Hilbert space, the eigenvalues give the truth values of logical propositions where the atomic input proposition cases are represented by the…

量子物理 · 物理学 2016-07-14 Francois Dubois , Zeno Toffano

In this paper, we study the concept of Fibonacci statistical convergence on intuitionisitic fuzzy normed space. We define the Fibonacci statistically Cauchy sequences with respect to an intuitionisitic fuzzy normed space and introduce the…

综合数学 · 数学 2018-12-31 Murat Kirişci

In this paper one presents new similarity, cardinality and entropy measures for bipolar fuzzy set and for its particular forms like intuitionistic, paraconsistent and fuzzy set. All these are constructed in the framework of multi-valued…

人工智能 · 计算机科学 2015-06-09 Vasile Patrascu

Multiple modular values are a common generalisation of multiple zeta values and periods of modular forms, and are periods of a hypothetical Tannakian category of mixed modular motives. They are given by regularised iterated integrals on the…

数论 · 数学 2017-06-20 Francis Brown

In this paper implication-based intuitionistic fuzzy finite state machine otherwise called as Implication-based intuitionistic fuzzy semiautomaton (IB-IFSA) over a finite group is defined and investigated intensively. The abstraction of…

综合数学 · 数学 2019-06-26 M. Selvarathi

This paper initiates the study of picture fuzzy topological spaces. In order to develop a mechanism to construct picture fuzzy topological spaces, we prove some basic results related to picture fuzzy sets together with the introduction of…

综合数学 · 数学 2022-01-25 Abdul Razaq , Harish Garg , Umer Shuaib

In line with the increasing attention paid to deal with uncertainty in ordinal data models, we propose to combine Fuzzy models with \cub models within questionnaire analysis. In particular, the focus will be on \cub models' uncertainty…

应用统计 · 统计学 2016-06-22 E. Di Nardo , R. Simone

In this manuscript, we introduce a new concept, which is called fuzzy left (right) derivations KU- ideals in KU-algebras. We state and prove some theorems about fundamental properties of it. Moreover, we give the concepts of the image and…

环与代数 · 数学 2015-06-16 Samy M. Mostafa , Ahmed Abd-eldayem

In this article we introduce the study of fuzzy semihyperrings and fuzzy R-semihypermodules, where R is a semihyperrings and R-semihypermodules are represntations of R. In particular, semihyperrings all of whose hyperideals are idempotent,…

综合数学 · 数学 2013-04-24 Aqeel Ahmed , Muhammad Aslam

In this book super interval matrices using the special type of intervals of the form [0, a] are introduced. Several algebraic structures like semigroups, groups, semirings, rings, semivector spaces and vector spaces are introduced. Special…

综合数学 · 数学 2011-10-05 W. B. Vasantha Kandasamy , Florentin Smarandache

In this paper, we first give the cartesian product of two neutrosophic multi sets(NMS). Then, we define relations on neutrosophic multi sets to extend the intuitionistic fuzzy multi relations to neutrosophic multi relations. The relations…

逻辑 · 数学 2015-06-15 Said Broumi , Irfan Deli , Florentin Smarandache