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This paper introduces semiopen and semiclosed soft sets in soft topological spaces. The notions of interior and closure are generalized using these sets. A detail study is carried out on properties of semiopen, semiclosed soft sets, semi…

General Topology · Mathematics 2012-03-20 J. Mahanta , P. K. Das

In this study different types of intuitionistic fuzzy continuities (IFCs) and intuitionistic fuzzy boundedness (IFBs) in intuitionistic fuzzy pseudo normed linear spaces are studied. Relations (intra and inter) on intuitionistic fuzzy…

General Mathematics · Mathematics 2021-02-15 Bivas Dinda , Santanu Kumar Ghosh , T. K. Samanta

We study finite systems of subspaces of a complex Hilbert space such that each pair of subspaces satisfies a certain condition as described in the following. For each subspace excepting the first one an angle between this subspace and the…

Functional Analysis · Mathematics 2012-01-18 Ivan Feshchenko , Alexander Strelets

Real-world phenomena often exhibit vagueness, partial truth, and incomplete information. To model such uncertainty in a mathematically rigorous way, many generalized set-theoretic frameworks have been introduced, including Fuzzy Sets [1],…

Artificial Intelligence · Computer Science 2026-03-18 Takaaki Fujita , Florentin Smarandache

Beyond normal surfaces there are several open questions concerning 2- dimensional spaces. We present some results and conjectures along this line.

Algebraic Geometry · Mathematics 2014-05-16 Mihai Tibar

The problem of conformal transformation and conformal flatness of Finsler spaces has been studied by so many researchers $\left[ 6,16,17,20,21\right] .$ Recently, Prasad et. al $\left[ 19\right] $ have studied three dimensional conformally…

Differential Geometry · Mathematics 2017-12-21 Gauree Shanker

It is reasonably well-known that birefringent crystal optics can to some extent be described by the use of pseudo-Finslerian spacetimes (an extension of pseudo-Riemannian spacetime). What is less commonly appreciated is that there are two…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Jozef Skakala , Matt Visser

Modeling relations between components of 3D objects is essential for many geometry editing tasks. Existing techniques commonly rely on labeled components, which requires substantial annotation effort and limits components to a dictionary of…

Graphics · Computer Science 2018-07-05 Minhyuk Sung , Anastasia Dubrovina , Vladimir G. Kim , Leonidas Guibas

Fusion frames are a very active area of research today because of their myriad of applications in pure mathematics, applied mathematics, engineering, medicine, signal and image processing and much more. They provide a great flexibility for…

This paper proposes two kinds of fuzzy abductive inference in the framework of fuzzy rule base. The abductive inference processes described here depend on the semantic of the rule. We distinguish two classes of interpretation of a fuzzy…

Artificial Intelligence · Computer Science 2007-05-23 Nedra Mellouli , Bernadette Bouchon-Meunier

We investigate half-lightlike submanifolds with planar normal sections of four dimensional pseudo Euclidean space. We obtain necessary and sufficient conditions for a half-lightlike submanifold of $R_{2}^{4}$ such that it has degenerate or…

Differential Geometry · Mathematics 2013-01-25 Feyza Esra Erdogan , Rifat Gunes , Bayram Sahin

In the most accessible terms this paper presents a convex-geometric approach to the study of fuzzy vectors. Motivated by several key results from the theory of convex bodies, we establish a representation theorem of fuzzy vectors through…

General Mathematics · Mathematics 2020-05-29 Cheng-Yong Du , Lili Shen

Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling. Numerous works now combine fuzzy concepts with other scientific disciplines…

Functional Analysis · Mathematics 2017-03-01 Murat Kirişci

In this article we introduce Variable exponent Fock spaces and study some of their basic properties such as the boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality.

Complex Variables · Mathematics 2017-09-05 Gerardo A. Chacon , Gerardo R. Chacon

Abstract Equivalent conditions that make the convex subdifferential maximal monotone are investigated in the general settings of locally convex spaces.

Functional Analysis · Mathematics 2019-01-31 M. D. Voisei

Systems of soft-core particles interacting via a two-scale potential are studied. The potential is responsible for peaks in the structure factor of the liquid state at two different but comparable length scales, and a similar bimodal…

Soft Condensed Matter · Physics 2015-12-03 A. J. Archer , A. M. Rucklidge , E. Knobloch

We develop the theory of frames and Parseval frames for finite-dimensional vector spaces over the binary numbers. This includes characterizations which are similar to frames and Parseval frames for real or complex Hilbert spaces, and the…

Functional Analysis · Mathematics 2009-06-19 Bernhard G. Bodmann , My Le , Letty Reza , Matthew Tobin , Mark Tomforde

In this paper, we work on the structure of soft linear spaces over a field K and investigate some of its properties. Here, we use the concept of the soft point which was introduced in [2,6]. We then introduce the soft norm in soft linear…

Functional Analysis · Mathematics 2014-03-21 Tunay Bilgin , Sadi Bayramov , Cigdem Gunduz , Murat Ibrahim Yazar

Hesitant fuzzy sets find extensive application in specific scenarios involving uncertainty and hesitation. In the context of set theory, the concept of inclusion relationship holds significant importance as a fundamental definition.…

Artificial Intelligence · Computer Science 2025-04-21 Shizhan Lu , Zeshui Xu , Zhu Fu , Longsheng Cheng , Tongbin Yang

The properties of the phi^4 scalar field theory on a fuzzy sphere are studied numerically. The fuzzy sphere is a discretization of the sphere through matrices in which the symmetries of the space are preserved. This model presents three…

High Energy Physics - Lattice · Physics 2007-05-23 Fernando Garcia Flores , Denjoe O'Connor , Xavier Martin
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