Results 81 to 90 of about 1,853 (178)

A general framework for product representations: bilattices and beyond

, 2015
This paper studies algebras arising as algebraic semantics for logics used to model reasoning with incomplete or inconsistent information. In particular we study, in a uniform way, varieties of bilattices equipped with additional logic-related operations
Cabrer, L. M., Priestley, H. A.
core   +1 more source

On sets of graded attribute implications with witnessed non-redundancy

, 2015
We study properties of particular non-redundant sets of if-then rules describing dependencies between graded attributes. We introduce notions of saturation and witnessed non-redundancy of sets of graded attribute implications are show that bases of ...
Vychodil, Vilem
core   +1 more source

A note on operations of hesitant fuzzy sets [PDF]

International Journal of Computational Intelligence Systems, 2015
In this paper, properties of operations and algebraic structures of hesitant fuzzy sets are investigated. Semilattices of hesitant fuzzy sets with union and intersection are discussed, respectively.
Zheng Pei, Liangzhong Yi
doaj   +1 more source

$L$-biconvex sets on some fuzzy algebraic substructures

AIMS Mathematics, 2020
With a complete residuated lattice $L$ as the set of truth values, we first introduce the concept of $L$-biconvex sets. Then we focus on investigating the forms of $L$-biconvex sets on three fuzzy algebraic substructures which are $L$-subsemilattices, $L$
Hui Yang, Yi Shi
doaj   +1 more source

Set optimization - a rather short introduction

, 2014
Recent developments in set optimization are surveyed and extended including various set relations as well as fundamental constructions of a convex analysis for set- and vector-valued functions, and duality for set optimization problems.
A Ben-Tal, A Göpfert, A Götz, A Löhne, A Löhne, A Löhne, A Löhne, A Löhne, A Roux, AA Lechicki, AH Hamel, AH Hamel, AH Hamel, AH Hamel, AH Hamel, AH Hamel, AH Hamel, AH Hamel, AM Rubinov, AY Azimov, AY Azimov, B Fuchssteiner, BM Glover, BN Pshenichnyi, BS Mordukhovich, BS Mordukhovich, BS Mordukhovich, BS Mordukhovich, C Brink, C Gerth (Tammer), C Gutiérrez, C Malivert, C Zălinescu, C Zălinescu, CS Lalitha, D Denneberg, D Gourion, D Gourion, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, D Kuroiwa, DG Luenberger, DG Luenberger, DT Luc, DT Luc, DT Luc, DT Luc, E Hernández, E Hernández, E Hernández, E Hernández, E Hernández, E Jouini, E Klein, E Muselli, E Szpilrajn, F Ferro, F Ferro, F Flores-Bazán, F Flores-Bazán, F Heyde, F Heyde, F Heyde, F Heyde, F Heyde, F Heyde, G Godini, G Pollák, GP Crespi, GP Crespi, GP Crespi, GY Chen, GY Chen, GY Chen, H Isermann, H Joe, H Kawasaki, HP Benson, HP Benson, HW Corley, HW Corley, I Singer, J Baier, J Benoist, J Getán, J Jahn, J Jahn, J Jahn, J Jahn, J Olko, J Zowe, J Zowe, J Zowe, J-E Martínez-Legaz, J-P Aubin, JM Borwein, JM Borwein, JM Borwein, JM Borwein, JP Dauer, JP Dauer, JP Dauer, JSH Kornbluth, JW Nieuwenhuis, K Keimel, K Nehring, K-H Elster, K-U Jahn, KD Schmidt, L Hernández, L Rodríguez-Marín, L-J Lin, M Alonso, M Durea, M Ehrgott, M Maggis, M Volle, M Ward, M Ward, M Ward, MM Day, N Galatos, NB Minh, NB Minh, P Artzner, P Prakash, P Walley, PC Fishburn, PH Dien, PH Sach, R Cross, RC Young, RI Boţ, RI Boţ, RP Dilworth, RT Rockafellar, RT Rockafellar, RT Rockafellar, RW Shephard, S Dolecki, S Gaubert, S Nishizawa, S Nishizawa, S Nishizawa, SJ Li, SJ Li, SL Brumelle, SL Brumelle, SS Kutateladze, SS Wang, T Maeda, T Maeda, T Pennanen, T Tanino, T Tanino, T Tanino, T Tanino, TS Blyth, TXD Ha, TXD Ha, TXD Ha, U Zimmermann, V Postolică, V Postolică, VV Beresnev, VV Gorokhovik, W Bossert, W Oettli, W Rödder, W Schachermayer, W Song, W Song, W Song, WW Breckner, WY Zhang, XQ Yang, XQ Yang, Y Araya, Y Kannai, Y Sawaragi, YM Kabanov, YM Liu, Z Li, Z-F Li, ZG Nishianidze   +192 more
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Vague Filters of Residuated Lattices [PDF]

Journal of Discrete Mathematics, 2014
Notions of vague filters, subpositive implicative vague filters, and Boolean vague filters of a residuated lattice are introduced and some related properties are investigated. The characterizations of (subpositive implicative, Boolean) vague filters is obtained. We prove that the set of all vague filters of a residuated lattice forms a complete lattice
openaire   +2 more sources

Some Applications of Fuzzy Sets in Residuated Lattices

Axioms
Many papers have been devoted to applying fuzzy sets to algebraic structures. In this paper, based on ideals, we investigate residuated lattices from fuzzy set theory, lattice theory, and coding theory points of view, and some applications of fuzzy sets ...
Cristina Flaut, Dana Piciu, Bianca Liana Bercea   +2 more
doaj   +1 more source

New topology in residuated lattices

Open Mathematics, 2018
In this paper, by using the notion of upsets in residuated lattices and defining the operator Da(X), for an upset X of a residuated lattice L we construct a new topology denoted by τa and (L, τa) becomes a topological space.
Holdon L.C.
doaj   +1 more source

The Lattice of Intuitionistic Fuzzy Filters in Residuated Lattices

Journal of Applied Mathematics, 2014
The notion of tip-extended pair of intuitionistic fuzzy filters is introduced by which it is proved that the set of all intuitionistic fuzzy filters in a residuated lattice forms a bounded distributive lattice.
Zhen Ming Ma
doaj   +1 more source

Some Properties of Residuated Lattices [PDF]

Czechoslovak Mathematical Journal, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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