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Our aim in this note is to present four remarkable facts about quotient sets. These observations seem to have been overlooked by the Monthly, despite its intense coverage of quotient sets over the years.

Number Theory · Mathematics 2013-12-05 Bryan Brown , Michael Dairyko , Stephan Ramon Garcia , Bob Lutz , Michael Someck

Bipolar fuzzy relation equations arise when unknown variables together with their logical negations appear simultaneously in fuzzy relation equations. This paper gives a characterization of the solvability of bipolar max product fuzzy…

General Mathematics · Mathematics 2024-10-11 M. Eugenia Cornejo , David Lobo , Jesús Medina

B. Tanay et. al. introduced and studied fuzzy soft topological spaces. Here we introduce fuzzy soft point and study the concept of neighborhood of a fuzzy soft point in a fuzzy soft topological space. We also study fuzzy soft closure and…

General Mathematics · Mathematics 2012-03-21 J. Mahanta , P. K. Das

We prove and conjecture several relations between multizeta values for $\mathbb{F}_q[t]$, focusing on zeta-like values, namely those whose ratio with the zeta value of the same weight is rational (or equivalently algebraic). In particular,…

Number Theory · Mathematics 2013-12-18 José Alejandro Lara Rodríguez , Dinesh S. Thakur

In this article, working in the spirit of the classical Arrovian models in the fuzzy setting and their possible extensions, we go deeper into the study of some type of decompositions defined by t-norms and t-conorms. This allows us to…

General Mathematics · Mathematics 2025-12-01 María Jesús Campión , Esteban Induráin , Armajac Raventós-Pujol

New cases of the multiplicity conjecture are considered.

Commutative Algebra · Mathematics 2007-05-23 Juergen Herzog , Xinxian Zheng

We extend two results of Ruzsa and Vu on the additive complements of primes

Number Theory · Mathematics 2011-04-29 Li-Xia Dai , Hao Pan

Multidimensional association rule mining searches for interesting relationship among the values from different dimensions or attributes in a relational database. In this method the correlation is among set of dimensions i.e., the items…

Information Retrieval · Computer Science 2009-09-29 Neelu Khare , Neeru Adlakha , K. R. Pardasani

In this Paper we defined the improved concept of fuzzy magic Graph as the set of two injective functions defined on [0; 1] such that sum of the labeled defined on vertices greater than respective edge label while sum of two vertices and…

General Mathematics · Mathematics 2015-09-03 R. N. Jamil , M. A. Rehman , M. Javaid

The main results of this paper are generalizations some classical theorems about transversals for families of finite sets to some cases of families of infinite sets.

Combinatorics · Mathematics 2020-08-10 G. R. Chelnokov , V. L. Dol'nikov

The notion of an $n$-ary group is a natural generalization of the notion of a group and has many applications in different branches. In this paper, the notion of (normal) fuzzy $n$-ary subgroup of an $n$-ary group is introduced and some…

Rings and Algebras · Mathematics 2010-03-25 Bijan Davvaz , Wieslaw A. Dudek

A construction of a fuzzy logic controller based on an analogy between fuzzy conditional rule of inference and marginal probability in terms of the conditional probability function has been proposed.

Logic in Computer Science · Computer Science 2012-04-13 F. Jurkovic

In the present contribution the construction of particle physics models in theories with fuzzy extra dimensions is discussed. We focus on a bottom-up approach where the structure of a higher-dimensional theory arises within ordinary…

High Energy Physics - Theory · Physics 2011-05-18 Athanasios Chatzistavrakidis , Harold Steinacker , George Zoupanos

In this paper, we define concept of approximate fixed point property of a function and a set in intuitionistic fuzzy normed space. Furthermore, we give intuitionistic fuzzy version of some class of maps used in fixed point theory and…

Functional Analysis · Mathematics 2015-09-10 Müzeyyen Ertürk , Vatan Karakaya , M. Mursaleem

We develop the theory of quasi-$F^e$-splittings, quasi-$F$-regularity, and quasi-$+$-regularity.

Algebraic Geometry · Mathematics 2024-04-11 Hiromu Tanaka , Jakub Witaszek , Fuetaro Yobuko

Fluctuation relations are identities, holding in non-equilibrium systems, that have attracted a lot of interest in the last 20 years. This is a series of 4 lectures discussing various aspects of such relations for stochastic equations…

Mathematical Physics · Physics 2013-08-08 Krzysztof Gawedzki

We discuss fluctuation-dissipation relations valid under general conditions even out of equilibrium. The response function is expressed in terms of unperperturbed correlation functions, where contributions peculiar to non-equilibrium can…

Statistical Mechanics · Physics 2012-03-23 Giacomo Gradenigo , Andrea Puglisi , Alessandro Sarracino , Dario Villamaina , Angelo Vulpiani

We introduced and study fuzzy gamma-hypersemigroups, according to fuzzy semihyper- groups as previously defined [33] and prove that results in this respect. In this regard first we introduce fuzzy hyperoperation and then study fuzzy…

General Mathematics · Mathematics 2013-10-03 R. Ameri , R. Sadeghi

Theories defined in higher than four dimensions have been used in various frameworks and have a long and interesting history. Here we review certain attempts, developed over the last years, towards the construction of unified particle…

High Energy Physics - Theory · Physics 2011-11-10 Athanasios Chatzistavrakidis , George Zoupanos

It is well-known that the theories of semi-vector spaces and semi-algebras -- which were not much studied over time -- are utilized/applied in Fuzzy Set Theory in order to obtain extensions of the concept of fuzzy numbers as well as to…

General Mathematics · Mathematics 2021-11-23 Giuliano G. La Guardia , Jocemar de Q. Chagas , Ervin K. Lenzi , Leonardo Pires