The purpose of this investigation is directed towards summarizing and researching of models for decision making support in multicriteria problems under uncertainties from fuzzy type. The models simulate (approximate) human decision making by means of applying of the fuzzy sets theory. Multicriteria fuzzy decision making problems will be considered in cases of fuzziness present in initial inform...

We consider a simplicial complex generaliztion of a result of Billera and Meyers that every nonshellable poset contains the smallest nonshellable poset as an induced subposet. We prove that every nonshellable 2-dimensional simplicial complex contains a nonshellable induced subcomplex with less than 8 vertices. We also establish CL-shellability of interval orders and as a consequence obtain a fo...

Let W be a Weyl group whose type is a simply laced Dynkin diagram. On several W -orbits of sets of mutually commuting reflections, a poset is described which plays a role in linear representations of the corresponding Artin group A. The poset generalizes many properties of the usual order on positive roots of W given by height. In this paper, a linear representation of the positive monoid of A ...

The symmetric group Sn acts naturally on the poset of injective words over the alphabet {1, 2, . . . , n}. The induced representation on the homology of this poset has been computed by Reiner and Webb. We generalize their result by computing the representation of Sn on the homology of all rank-selected subposets, in the sense of Stanley. A further generalization to the poset of r-colored inject...