p-Regularity and p-Regular Modification in ⊤-Convergence Spaces

Jin, Qiu; Li, Lingqiang; Lang, Guangming

doi:10.3390/math7040370

Cited by 14 publications

(7 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…With the development of the theory of fuzzy topology [2,15,25,29], many types of fuzzy convergence structures have been proposed, such as stratified L-generalized convergence structure [9,11,17,18], Lfuzzifying convergence structure [26,27], L-convergence tower structure [8,10,22], L-ordered convergence structure [4,5], (Enriched) (L, M)-fuzzy (Q-)convergence structure [20,21,23], ⊺-convergence structure [6,12] and so forth. Fuzzy convergence structures are usually discussed from two aspects.…”

Section: Introductionmentioning

confidence: 99%

Cartesian-closedness and Subcategories of (L,M)-fuzzy Q-convergence Spaces

Pang

Zhang

2021

Preprint

View full text Add to dashboard Cite

In this paper, we first construct the function space of ( L,M )-fuzzy Q-convergence spaces to show the Cartesian-closedness of the category ( L,M )- QC of ( L,M )-fuzzy Q-convergence spaces. Secondly, we introduce several subcategories of ( L,M )- QC , including the category ( L,M )- KQC of ( L,M )-fuzzy Kent Q-convergence spaces, the category ( L,M )- LQC of ( L,M )-fuzzy Q-limit spaces and the category ( L,M )- PQC of ( L,M )-fuzzy pretopological Q-convergence spaces, and investigate their relationships.

show abstract

Section: Introductionmentioning

confidence: 99%

Cartesian-closedness and Subcategories of (L,M)-fuzzy Q-convergence Spaces

Pang

Zhang

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Furthermore, many nanosized dened pores appear in the lms. This porous microstructure is favorable for improvement of the thermochromic optical properties of the VO 2 lms, 15,27 which will be discussed in the next section.…”

Section: Effect Of the Deposition Timementioning

confidence: 99%

“…The grain sizes of the lm are below the wavelength of visible and infrared light, which together with the porosity is benecial for improving the optical quality. 15,27 Fig. 5(c) is the AFM photograph of the lm that was annealed at 350 C. The root-mean-square (rms) roughness values of the two lms are 31.87 (400 C) and 6.31 nm (350 C).…”

Section: Effect Of the Annealing Temperaturementioning

confidence: 99%

Low temperature fabrication of thermochromic VO₂ thin films by low-pressure chemical vapor deposition

et al. 2017

View full text Add to dashboard Cite

VO 2 (M) is of special interest as the material with the most potential for future application in smart windows and switching devices. However, a number of drawbacks need to be overcome, including the high processing temperature of current synthesis techniques and low thermochromic properties. This work reports the fabrication of high-performance thermochromic VO 2 thin films at low temperatures below 400 C based on a low-pressure chemical vapor deposition (LPCVD) with a vanadium(III) acetylacetonate precursor. Proper tuning of the process parameters is found to be critical in fabricating thicknesscontrollable highly-crystalline VO 2 films. For an $62 nm thick VO 2 film, visible transmittances of 52.3% (annealed at 400 C) and 52.7% (annealed at 350 C) were obtained. The corresponding solar energy modification abilities (DT sol ) were 9.7% and 7.1%, and the transition temperatures were 45.1 C and 50.9 C. The underlying microscopic mechanism was studied by first-principles calculations and the results indicated that improved performances, including a low transition temperature, could be achieved by properly controlling the annealing temperature, ascribed to the combined effect of strain and oxygen vacancies. Moreover, the initial use of a pre-grown seed layer induced fast grain growth, which is favorable for further decreasing the deposition and annealing temperature to 325 C.

show abstract

“…(Fuzzy) rough sets are closely related to (fuzzy) topology [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42]. e well-known result may be that there is a one-toone correspondence between reflexive and transitive (fuzzy) approximation spaces and quasidiscrete (fuzzy) topological spaces [26,37,38].…”

Section: Introductionmentioning

confidence: 99%

A New Single-Valued Neutrosophic Rough Sets and Related Topology

Jin

et al. 2021

Journal of Mathematics

Self Cite

View full text Add to dashboard Cite

(Fuzzy) rough sets are closely related to (fuzzy) topologies. Neutrosophic rough sets and neutrosophic topologies are extensions of (fuzzy) rough sets and (fuzzy) topologies, respectively. In this paper, a new type of neutrosophic rough sets is presented, and the basic properties and the relationships to neutrosophic topology are discussed. The main results include the following: (1) For a single-valued neutrosophic approximation space U , R , a pair of approximation operators called the upper and lower ordinary single-valued neutrosophic approximation operators are defined and their properties are discussed. Then the further properties of the proposed approximation operators corresponding to reflexive (transitive) single-valued neutrosophic approximation space are explored. (2) It is verified that the single-valued neutrosophic approximation spaces and the ordinary single-valued neutrosophic topological spaces can be interrelated to each other through our defined lower approximation operator. Particularly, there is a one-to-one correspondence between reflexive, transitive single-valued neutrosophic approximation spaces and quasidiscrete ordinary single-valued neutrosophic topological spaces.

show abstract

p-Regularity and p-Regular Modification in ⊤-Convergence Spaces

Cited by 14 publications

References 43 publications

Cartesian-closedness and Subcategories of (L,M)-fuzzy Q-convergence Spaces

Cartesian-closedness and Subcategories of (L,M)-fuzzy Q-convergence Spaces

Low temperature fabrication of thermochromic VO₂ thin films by low-pressure chemical vapor deposition

A New Single-Valued Neutrosophic Rough Sets and Related Topology

Contact Info

Product

Resources

About

p-Regularity and p-Regular Modification in ⊤-Convergence Spaces

Cited by 14 publications

References 43 publications

Cartesian-closedness and Subcategories of (L,M)-fuzzy Q-convergence Spaces

Cartesian-closedness and Subcategories of (L,M)-fuzzy Q-convergence Spaces

Low temperature fabrication of thermochromic VO2 thin films by low-pressure chemical vapor deposition

A New Single-Valued Neutrosophic Rough Sets and Related Topology

Contact Info

Product

Resources

About

Low temperature fabrication of thermochromic VO₂ thin films by low-pressure chemical vapor deposition