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EN
A fuzzy preference matrix is the result of pairwise comparison - a powerful method in multi-criteria optimization. When comparing two elements, the decision maker assigns a value between 0 and 1 to any pair of alternatives representing the element of the fuzzy preference matrix. Here, we investigate relations between transitivity and consistency of fuzzy preference matrices and multiplicative preference ones. The results obtained are applied to decision situations where some elements of the fuzzy preference matrix are missing. We propose a new method for completing the fuzzy preference matrix with missing elements called the extension of the fuzzy preference matrix and investigate an important particular case of the fuzzy preference matrix with missing elements. Next, using the eigenvector of the transformed matrix we obtain the corresponding priority vector. Illustrative numerical examples are supplied.
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Matrix jako cykl intertekstualny

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PL
The text is an attempt to present lesser-known plot interpretations of the Matrix series (both film trilogy and anime Animatrix) movies. The author uses various research perspectives (religio-mystical, political and socio-economic ones) to present possible ways of interpretation of particular motifs and characters, referring among others to mystical beliefs, Gnostic ideas and the tradition of initiation novel, but also to contemporary popular culture regarding films and science fiction novels. The analysis contains as well socio-political issues touched upon in the movie; moreover on the example of Anonymous Group activities the author reveals the way Matrix series still influences contemporary culture.
EN
Pairwise comparison is a powerful method in multi-criteria optimiza- tion. When comparing two elements, the decision maker assigns a value from the given scale which is an Abelian linearly ordered group (Alo- group) of the real line to any pair of alternatives representing an element of the preference matrix (P-matrix). Both non-fuzzy and fuzzy mul- tiplicative and additive preference matrices are generalized. Then we focus on situations where some elements of the P-matrix are missing. We propose a general method for completing fuzzy matrix with missing elements, called the extension of the P-matrix, and investigate some im- portant particular cases of fuzzy preference matrix with missing elements. Eight illustrative numerical examples are included.
PL
Celem artykułu jest wskazanie bogactwa intertekstualnych nawiązań kina popularnego i tendencji jego twórców do uciekania się do poważnej refleksji społeczno-kulturowej. Ważna wydaje się w tym kontekście także kwestia kultury uczestnictwa, w której odbiorcy są aktywnymi uczestnikami obiegu kulturalnego. Dwoma najbardziej reprezentowanymi obszarami odniesień X muzy są sfery religii i psychoanalizy. Pierwszy paradygmat tworzą dzieła zawierające parafrazy i nowe realizacje motywów związanych z religią chrześcijańską. Pojawiają się tutaj także obrazy generujące pewne zachowania religijne, na przykład religia Jedi utworzona pod wpływem „Gwiezdnych Wojen”. Drugi paradygmat to filmy dające się odczytać się poprzez freudowską bądź lacanowską psychoanalizę. Stanowią one też często współczesne realizacje jungowskich archetypów i schematu wędrówki bohatera mitycznego.
EN
This paper attempts to demonstrate the abundance of intertextual conjunctions between popular cinematographic productions appealing to a large audience and the tendency of their producers to resort to serious socio-cultural issues. Of considerable importance within this context is the culture of public participation, where the audience assume the dual capacity of consumer and participator in the cultural process. The religious and psychoanalytic spheres constitute the xmuse‘s outstanding domains of reference. The first paradigm establish productions abounding in paraphrases and novel interpretations of topics rooted in or connected with the Christian creed. On the screen appear pictures that generate certain religious rites and behavior, i.e. the Jedi religion developing under the influence of „Star Wars“. The second paradigm constitute films that may be interpreted by application of Freudian or Lacanian psychoanalysys. They render more often than not a contemporary vision of Jungian archetypes and the rote model of the mythical „quester hero“.
EN
In this paper bordered matrices and some their applications are presented. In particular we give information how can be found matrix F = AB-1C without calculation the inverse of matrix B (when B = I this way we obtain Cauchy's product of matrices A and C). We present how to find generalized inverse of the Moore'a-Penrose'a type too and finally calculate value of determinant of given matrix A of order nxn.(original abstract)
EN
In this paper concept of coincidence of variable and methods for checking coincidence of model and variables are presented. Particularly Hellwig's hypothesis and methods for constructing model with difference compensators are described. It makes possible keeping non coincidentional variables in model.(original abstract)
EN
When patients return to the emergency department (ED) within 72 hours after their previous ED discharge, it is generally assumed that their initial evaluation or treatment had been somehow inadequate. Mining data related to unplanned ED revisits is one method to determine whether this problem can be overcome, and to generate useful guidelines in this regard. In this study, we use the receiver operating characteristic (ROC) curve to compare the data mining model by affinity set to other well known approaches. Some scholars have validated the affinity model for its simplicity and power in handling information systems especially when showing binary consequences. In experimental results, SVM showed the best performance, with the affinity model following only slightly behind. This study demonstrated that when patients visit the ED with normotensive status or smooth breath patterns, or when the physician-patient ratio is moderate, the frequency with which patients revisit the ED is significantly higher.
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