In this paper, the notion of closure operators of matroids  is generalized to fuzzy setting  which is called $M$-fuzzifying closure operators, and some properties of $M$-fuzzifying closure operators are discussed. The $M$-fuzzifying matroid induced by an $M$-fuzzifying closure operator can induce an $M$-fuzzifying closure operator. Finally, the characterizations of $M$-fuzzifying acyclic matroi...

pure anatase titania (tio2), mixed 1.0 wt.% cerium-anatase titania (1.0 wt.%ceo2-tio2), and mixed 1.0 wt.% zirconia-anatase titania (1.0 wt.%zro2-tio2) nano powders were synthesized by co-precipitation method and characterized using x-ray diffraction (xrd), brunauer-emmett-teller (bet) surface area analysis, uv-vis diffuse reflectance spectroscopy (drs), and transmission electron microscope (te...

in this paper, we introduce some properties of an intuitionistic normal fuzzy m-subgroup of m- group with m-homomorphism and isomorphism. we study he image, the pre-image and the inverse mapping of the intuitionistic normal fuzzy m-‎subgroups.‎

protein oxidationm.longissimus dorsi andm. semimembranosuswas studied in ram lambs of northeastern bulgarian fine wool breed and cross of this breed with ile de france, reared and in doors and on pasture.the degree of protein oxidation is determined by measuring the content of carbonyls, formed during the storage of the investigated muscles at low temperatures(4˚с till6thday and -20˚с till90thd...

Following the idea of $L$-fuzzy neighborhood system as introduced byFu-Gui Shi, and its generalization to $(L,M)$-fuzzy neighborhood system, the relationship between  $(L,M)$-fuzzy topology and $(L,M)$-fuzzy neighborhood system will be further studied. As an application of the obtained results, we will describe the initial structures of $(L,M)$-fuzzy neighborhood subspaces and $(L,M)$-fuzzy top...