⊤-nets and ⊤-filters

Gunther Jäger

⊤-nets and ⊤-filters

Publish place: Transactions on Fuzzy Sets and Systems، Vol: 1، Issue: 1

Publish Year: 1401

نوع سند: مقاله ژورنالی

زبان: English

This Paper With 15 Page And PDF Format Ready To Download

دریافت فایل کامل Paper

Certificate
من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

https://civilica.com/doc/1589916

شناسه ملی سند علمی:

JR_TFSS-1-1_003

تاریخ نمایه سازی: 27 دی 1401

Abstract:

In this paper we develop a theory of ⊤-nets and study their relation to ⊤-filters. We show that convergence in strong L-topological spaces can be described by both ⊤-nets and ⊤-filters and that both concepts are equivalent in the sense that definitions and proofs that are given using ⊤-filters can also be given using ⊤-nets and vice versa.

Keywords:

fuzzy topology , convergence , ⊤-filter , ⊤-net , Strong ⊤-topological space

Authors

Gunther Jäger

School of mechanical engineering, university of applied sciences Stralsund

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :

۱] R. G. Bartle, Nets and filters in topology, Amer. ...
R. Bělohlávek, Fuzzy Relation Systems, Foundation and Principles, Kluwer Academic/Plenum ...
N. Bourbaki, General topology, Springer Verlag, Berlin- Heidelberg- New York- ...
H. Cartan, Theéorie des filtres, C. R. Acad. Sci. Paris, ...
J. Fang, Stratified L-ordered convergence structures, Fuzzy Sets and Systems, ...
J. Fang, Relationships between L-ordered convergencestructures and strong L-topologies, Fuzzy ...
J. Fang and Y. Yue, ⊤-diagonal conditions and continuous extension ...
R. C. Flagg, Quantales and continuity spaces, Algebra Univers., ۳۷ ...
G. Gierz, K. H. Hofmann, K. Keimel, J. D. Lawson, ...
U. Höhle, Probabilistic topologies induced by L-fuzzy uniformities, Manuscripta Math., ...
U. Höhle, Commutative, residuated l-monoids, in: Non-classical logics and their ...
U. Höhle and A. Šostak, Axiomatic foundations of fixed-basis fuzzy ...
D. Hofmann, G. J. Seal and W. Tholen, Monoidal topology, ...
G. Jäger, A category of L-fuzzy convergence spaces, Quaest. Math., ...
G. Jäger, Stratified LMN-convergence tower spaces, Fuzzy Sets and Systems, ...
G. Jäger and Y. Yue, T-uniform convergence spaces, Iranian J. ...
J. L. Kelley, General topology, Van Nostrand, Princeton, New Jersey, ...
H. J. Kowalsky, Topological spaces, Acad. Press, New York, (۱۹۶۵) ...
H. Lai and D. Zhang, Fuzzy topological spaces with conical ...
L. Li and Q. Jin, On stratified L-convergence spaces: Pretopological ...
L. Li, Q. Jin and K. Hu, Lattice-valued convergence associated ...
R. Lowen, Convergence in fuzzy topological spaces, Gen. Top. Appl., ...
R. Lowen, The relation between filter and net convergence in ...
E. H. Moore and H. L. Smith, A general theory ...
B. M. Pu and Y. M. Liu, Fuzzy topology I, ...
G. N. Raney, A subdirect-union representation for completely distributive complete ...
L. Reid, G. Richardson, Connecting ⊤ and lattice-valued convergences, Iran. ...
W. Yao, Moore-Smith convergence in (LM)-fuzzy topology, Fuzzy Sets and ...
Q. Yu, J. Fang, The category of ⊤-convergence spaces and ...
Y. Yue and J. Fang, Completeness in probabilistic quasi-uniform spaces, ...
Y. Yue and J. Fang, The ⊤-filter monad and its ...
D. Zhang, An enriched category approach to many valued topology, ...

نمایش کامل مراجع