Fuzzy Fibrewise Structures Mahalakshmi, J.; Sudha, M.
Journal of physics. Conference series,
05/2021, Letnik:
1850, Številka:
1
Journal Article
Recenzirano
Odprti dostop
Abstract
A new structure called a fuzzy fibrewise (briefly
ℱℱℬ
) structure is propounded and contemplated in this disquisition. Also the perception of
ℱℱℬ
open (resp. closed) structures is introduced ...and some properties involving these concepts are investigated. Further, some of the significant separation axioms are studied in
ℱℱℬ
versions. Moreover, the concept of
ℱℱℬ
compactness is established.
We consider forcing axioms for suitable families of μ‐complete μ+$\mu ^+$‐c.c. forcing notions. We show that some form of the condition “p1,p2$p_1,p_2$ have a ≤Q-lub$\le _{{\mathbb {Q}}}\text{-}{\rm ...lub}$ in Q${\mathbb {Q}}$” is necessary. We also show some versions are really stronger than others.
In this paper, we study different properties of δ ∗-semiopen set. We define the concept of δ ∗-semi generalized closed sets and present some characteristics. In addition, as applications to δ ∗-semi ...generalized closed set, we introduce δ ∗-semi T_1/2 space and obtain some of their basic properties. Moreover, we defined the notions of δ ∗-semi symmetric space, δ ∗-semi difference sets and δ ∗-semi kernel of sets, and investigate some of their fundamental properties. At the latest, some new types of spaces are introduced and the
relationships of these spaces are studied.
In this paper, we study different properties of δ ∗-semiopen set. We define the concept of δ ∗-semi generalized closed sets and present some characteristics. In addition, as applications to δ ∗-semi generalized closed set, we introduce δ ∗-semi T_1/2 space and obtain some of their basic properties. Moreover, we defined the notions of δ ∗-semi symmetric space, δ ∗-semi difference sets and δ ∗-semi kernel of sets, and investigate some of their fundamental properties. At the latest, some new types of spaces are introduced and the
relationships of these spaces are studied.
Normal and Weak regular space in ITS Selvanayaki, S; Marudhachalam, R; Ilango, Gnanambal
Journal of physics. Conference series,
12/2018, Letnik:
1139, Številka:
1
Journal Article
Recenzirano
Odprti dostop
The properties and relations of three different types of intuitionistic normal spaces are studied and among that it is shown that intuitionistic strongly normal space is topologically invariant. Also ...weak regular space (R0 space) in intuitionistic topological space is introduced, its properties are established and its relation with other existing separation axioms are investigated.
The largest class of hyperstructures is the class of H v -structures. This is the class of hyperstructures where the equality is replaced by the non-empty intersection. This extremely large class can ...used to define several objects that they are not possible to be defined in the classical hypergroup theory. It is convenient, in applications, to use more axioms and conditions to restrict the research in smaller classes. In this direction, in the present paper we continue our study on H v -structures which have strong-inverse elements. More precisely we study the small finite cases.
We extend to fuzzy similarity measures the study made for classical ones in a companion paper (Coletti and Bouchon-Meunier in Soft Comput 23:6827–6845, 2019). Using a classic method of measurement ...theory introduced by Tversky, we establish necessary and sufficient conditions for the existence of a particular class of fuzzy similarity measures, representing a binary relation among pairs of objects which expresses the idea of “no more similar than”. In this fuzzy context, the axioms are strictly dependent on the combination operators chosen to compute the union and the intersection.
Redistribution with Needs Martinez, Ricardo; Moreno-Ternero, Juan D
arXiv.org,
02/2024
Paper, Journal Article
Odprti dostop
We take an axiomatic approach to study redistribution problems when agents report income and needs. We formalize axioms reflecting ethical and operational principles such as additivity, impartiality ...and individual rationality. Different combinations of those axioms characterize three focal rules (laissez faire, full redistribution, and need-adjusted full redistribution) as well as compromises among them. We also uncover the structure of those compromises exploring the Lorenz dominance criterion as well as majority voting. Our analysis provides an axiomatic justification for a linear income tax system. We conclude our analysis resorting to Eurostat's Household Budget Survey from where we illustrate the different redistribution patterns accounting for needs across European countries.
The weak axiom of revealed preference (WARP) ensures that the revealed preference (i) is a preference relation (i.e., it is complete and transitive) and (ii) rationalizes the choices. However, when ...WARP fails, either one of these two properties is violated, but it is unclear which one it is. We provide an alternative characterization of WARP by showing that WARP is equivalent to the conjunction of two axioms each of which separately guarantees (i) and (ii).
The over-and-above choice rule is the prominent selection procedure to implement affirmative action. In India, it is legally mandated to allocate public school seats and government job positions. ...This paper presents an axiomatic characterization of the over-and-above choice rule by rigorously stating policy goals as formal axioms. Moreover, we characterize the deferred acceptance mechanism coupled with the over-and-above choice rules for centralized marketplaces.
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