AHP (Analytic Hierarchy Process) has been widely used in decision making techniques. However, the results from AHP often lose reliability because the comparison matrix does not always have sufficient consistency. In these cases, fuzzy representation for weighting activities using results from a sensitivity analysis is useful. In this paper, we present alternative overall weights by employing so...

Relationships between proto-fuzzy concepts, crisply generated fuzzy concepts, and pattern structures are considered. It is shown that proto-fuzzy concepts are closely related to crisply generated fuzzy concepts in the sense that the mappings involved in the definitions coincide for crisp subsets of attributes. Moreover, a proto-fuzzy concept determines a crisp subset of attributes, which genera...

The last decade has seen an enormous development in infinite-valued systems and in particular in such systems which have become known as mathematical

The problem of evaluation of agricultural land suitability is consid­ ered as a fuzzy modeling task. For assessment of land suitability, it is proposed to use fuzzy indicators. Application of individual fuzzy indicators gives oppor­ tunity for assessment of suitability of lands as degree or grade of performance when the lands are used for agricultural purposes. Using composite fuzzy indi­ cator...

Many authors have introduced the concept of fuzzy metric spaces in different ways.In this paper, we get a special structure for some separable fuzzy metric and M-fuzzy metric spaces, where the metric space has been introduced by George and Veermani.

Abstract – The problem of hypothesis testing with a nuisance parameter is considered. Two methods for using fuzzy knowledge on the nuisance parameter to test hypotheses are suggested. These methods are neither a pure classical nor a pure Bayesian approach to hypothesis testing, but rather related to both. A few known examples and their applications, which cannot be studied by the parametric sta...

Within the fuzzy literature, the issue of ranking fuzzy intervals has been addressed by many authors, who proposed various solutions to the problem. Most of these solutions intend to find a total order on a given collection of fuzzy intervals. However, if one sees fuzzy intervals as descriptions of uncertain quantities, an alternative to rank them is to use ranking rules issued from the impreci...

In this paper we generalize some classical factorizations of a fuzzy relation into a symmetric component (indifference) and an asymmetric and regular component (regular fuzzy strict preference). From the above notions, we establish two properties of any regular fuzzy strict preference of a max-∗-transitive fuzzy relation, which are then used to obtain new fuzzy versions of Gibbard’s oligarchy t...

this paper introduces a new approach to topology, based on category theory and universal algebra, and called categorically-algebraic (catalg) topology. it incorporates the most important settings of lattice-valued topology, including poslat topology of s.~e.~rodabaugh, $(l,m)$-fuzzy topology of t.~kubiak and a.~v{s}ostak, and $m$-fuzzy topology on $l$-fuzzy sets of c.~guido. moreover, its respe...