This paper presents the concepts of $(L,M)$-fuzzy Q-convergence spaces and stratified $(L,M)$-fuzzy Q-convergence spaces. It is shown that the category of stratified $(L,M)$-fuzzy Q-convergence spaces is a bireflective subcategory of the category of $(L,M)$-fuzzy Q-convergence spaces, and the former is a Cartesian-closed topological category. Also, it is proved that the category of stratified $...

The aim of this paper is to introduce $(L,M)$-fuzzy closurestructure where $L$ and $M$ are strictly two-sided, commutativequantales. Firstly, we define $(L,M)$-fuzzy closure spaces and getsome relations between $(L,M)$-double fuzzy topological spaces and$(L,M)$-fuzzy closure spaces. Then, we introduce initial$(L,M)$-fuzzy closure structures and we prove that the category$(L,M)$-{bf FC} of $(L,M...

The aim of this paper is to establish fixed-point theorems for generalized M -fuzzy 2-metric space. Our theorem in an extension of result of Fisher [6], Sharma [19], Sharma, Sharma and Iseki [20], Sedghi and Shobe [22] and Veerapandi, et. al.[28]. Mathematics Subject Classification: 47H10, 54H25

A polytope is the bounded intersection of a nite set of halfspaces of R d. Every polytope can also be represented as the convex hull conv V of its vertices (or extreme points) V. The convex hull problem is to convert from the vertex representation to the halfspace representation or (equivalently by geometric duality) vice-versa. Given an ordering v 1 : : : v n of the input vertices, after some ...

The aim of this paper is to define an $L^p$ space intuitionistic fuzzy observables. We work in $({\mathcal F}, {\bf m})$ with product, where $\mathcal F$ a family events and ${\bf m}$ state. prove that the corresponding pseudometric $\rho_{IF}$ space.

Fuzzy segmentation is an effective way of segmenting out objects in images containing varying illumination. In this paper, a modified method based on the Comprehensive Learning Particle Swarm Optimization (CLPSO) is proposed for pixel classification in HSI color space by selecting a fuzzy classification system with minimum number of fuzzy rules and minimum number of incorrectly classified patte...

Hierarchical structures and uncertainty measures are two main aspects in granular computing, approximate reasoning and cognitive process. Typical hesitant fuzzy sets, as a prime extension of fuzzy sets, are more flexible to reflect the hesitance and ambiguity in knowledge representation and decision making. In this paper, we mainly investigate the hierarchical structures and uncertainty measure...

When using the convex hull approach in the boundary modeling process, ModelBased Calibration (MBC) software suites – such as Model-Based Calibration Toolbox from MathWorks – can be computationally intensive depending on the amount of data modeled. The reason for this is that the half-space representation of the convex hull is used. We discuss here another representation of the convex hull, the ...

We prove the following quantitative form of a classical theorem of Steinitz: Let m be suuciently large. If the convex hull of a subset S of Euclidean d-space contains a unit ball centered on the origin then there is a subset of S with at most m points whose convex hull contains a solid ball also centered on the origin and having residual radius 1 ? 3d 2d 2 m ! 2 d?1 : The case m = 2d was rst co...