Fuzzy Criterion Set and Fuzzy Criterion Dynamic Programming

Fuzzy Clustering with New Separable Criterion

Fuzzy clustering has been used widely in education, statistics, engineering, communication...etc. The fuzzy partition clustering algorithms are most based on Euclidean distance function, which can only be used to detect spherical structural clusters. Extending Euclidean distance to Mahalanobis distance, GustafsonKessel (GK) clustering algorithm and Gath-Geva (GG) clustering algorithm were devel...

A New Criterion for Comparing Fuzzy

Fuzzy Possibilistic Optimistic Criterion-A New Approach

In this paper we consider decision making under uncertainty when the probability of the states of nature is not known a priori and the outcomes of each alternative are characterized only approximately. The fuzzy approach is very useful to handle such situations. Here we take into consideration both the best and the worst consequences of a decision problem. An optimist expects the best to occur ...

Fuzzy Answer Set Programming

In this paper we show how the concepts of answer set programming and fuzzy logic can be succesfully combined into the single framework of fuzzy answer set programming (FASP). The framework offers the best of both worlds: from the answer set semantics, it inherits the truly declarative non-monotonic reasoning capabilities while, on the other hand, the notions from fuzzy logic in the framework al...

Fuzzy Aggregates in Fuzzy Answer Set Programming

Fuzzy answer set programming [Saad, 2010; Saad, 2009; Subrahmanian, 1994] is a declarative framework for representing and reasoning about knowledge in fuzzy environments. However, the unavailability of fuzzy aggregates in disjunctive fuzzy logic programs, DFLP, with fuzzy answer set semantics [Saad, 2010] prohibits the natural and concise representation of many interesting problems. In this pap...