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The Category of S-Fuzzy Posets

سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 137

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شناسه ملی سند علمی:

JR_SCMA-20-3_010

تاریخ نمایه سازی: 9 آبان 1402

چکیده مقاله The Category of S-Fuzzy Posets

In this paper, we define and consider, the category {\bf FPos}-S of all S-fuzzy posets and action-preserving monotone maps between them. S-fuzzy poset congruences which play an important role in studying thecategorical properties of S-fuzzy posets are introduced. More precisely, the correspondence between the S-fuzzy poset congruences and the fuzzy action and order preserving maps is discussed. We characterize S-fuzzy poset congruences on the S-fuzzy posets in terms of the fuzzy pseudo orders. Some categorical properties of the category {\bf FPos}-S of all S-fuzzy posets is considered. In particular, we characterize products, coproducts, equalizers, coequalizers, pullbacks and pushouts in this category. Also, we consider all forgetful functors between the category {\bf FPos}-S and the categories {\bf FPos} of fuzzy posets, {\bf Pos}-S of S-posets, {\bf Pos} of posets, {\bf Act}-S of S-acts  and {\bf Set} of sets and study the existence of their left and right adjoints. Finally, epimorphisms, monomorphisms and order embeddings in {\bf FPos} and {\bf FPos}-S are studied.

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نویسندگان مقاله The Category of S-Fuzzy Posets

Leila Shahbaz

Department of Mathematics, University of Maragheh, Maragheh, ۵۵۱۸۱-۸۳۱۱۱, Iran.

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K. Blount and C. Tsinakis, The structure of residuated lattices, ...
T.S. Blyth and M.F. Janowitz, Residuation Theory, Pergamon Press, Oxford, ...
U. Bodenhofer, A New Approach to Fuzzy Orderings, Tatra Mt. ...
U. Bodenhofer, Representations and constructions of similarity based fuzzy orderings, ...
U. Bodenhofer, M. De Cock and E.E. Kerre, Openings and ...
S. Bulman-Fleming, Subpullback flat S-posets need not be subequlizer flat, ...
S. Bulman-Fleming, D. Gutermuth, A. Gilmour and M. Kilp, Flatness ...
S. Bulman-Fleming, A. Gilmour and M. Kilp, Flatness properties of ...
S. Bulman-Fleming and V. Laan, Lazard's theorem for S-posets, Math. ...
S. Bulman-Fleming and M. Mahmoudi, The category of S-posets, Semigroup ...
M.M. Ebrahimi, M. Mahmoudi and H. Rasouli, Banaschewski's theorem for ...
M. Ciric, J. Ignjatovic and S. Bogdanovic, Fuzzy equivalence relations ...
M. Demirci, Indistinguishability operators in measurement theory, Part I: Conversions ...
M. Demirci, Indistinguishability operators in measurement theory, Part II: Construction ...
M. Demirci and J. Recasens, Fuzzy groups, fuzzy functions and ...
S.M. Fakhruddin, Absolute flatness and amalgams in pomonoids, Semigroup Forum, ...
S.M. Fakhruddin, On the category of S-posets, Acta Sci. Math. ...
J.A. Goguen, L-fuzzy sets, J. Math. Anal. Appl., ۱۸ (۱۹۶۷), ...
R. Gonzalez-del-Campo, L. Garmendia and B. De Baets, Transitive closure ...
P. Hajek, Metamathematics of Fuzzy Logic, Kluwer, Dordrecht, ۱۹۹۸ ...
J. Hao, Q. Li and L. Guo, Fuzzy order congruences ...
U. Hohle, On the fundamentals of fuzzy set theory, J. ...
Khamechi, P., Nouri, L., Mohammadzadeh Saany, H., Global Journal of ...
H. Rasouli, Categorical properties of regular monomorphisms of S-posets, European ...
H. Rasouli and H. Barzegar, The regular injective envelope of ...
L. Shahbaz and M. Mahmoudi, Various kinds of regular injectivity ...
L. Shahbaz and M. Mahmoudi, Injectivity of S-posets with respect ...
L.A. Skornjakov, On the injectivity of ordered left acts over ...
M. Ward, R.P. Dilworth, Residuated lattices, T. Am. Math. Soc., ...
L.A. Zadeh, Fuzzy sets, Inform. Control, ۸ (۱۹۶۵), pp. ۳۳۸-۳۵۳ ...
L.A. Zadeh, Similarity relations and fuzzy orderings, Information Science, ۳ ...
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