Grade of membership or GoM models (also known as admixture models or Latent Dirichlet Allocation”) are a generalization of cluster models that allow each sample to have membership in multiple clusters. It is widely used to model ancestry of individuals in population genetics based on SNP/ microsatellite data and also in natural language processing for modeling documents [1, 3]. This R package i...

this paper presents a fuzzy goal programming (fgp) methodology for solving bi-level quadratic programming (blqp) problems. in the fgp model formulation, firstly the objectives are transformed into fuzzy goals (membership functions) by means of assigning an aspiration level to each of them, and suitable membership function is defined for each objectives, and also the membership functions for vec...

data envelopment analysis (dea) is a method to evaluate the relative efficiency of decision making units (dmus). in this method, the issue has always been to determine a set of weights for each dmu which often caused many problems. since the dea models also have the multi-objective linear programming (molp) problems nature, a rational relationship can be established between molp and dea problem...

Fuzziness is ever presented in real life decision making problems. In this paper, we adapt the pessimistic approach tostudy a pair of linear primal-dual problem under intuitionistic fuzzy (I-fuzzy) environment and prove certain dualityresults. We generate the duality results using exponential membership and non-membership functions to represent thedecision maker’s satisfaction and dissatisfacti...

The TEE model for grades of membership claims that there is a connection between the fact that an object is labeled (e.g., =old) in a natural language discourse on the one hand; and the assignment to the object of a high grade of membership in on the other. In preparation for a more precise formulation of this assertion we deene here 1) LB (labeling) and 2) YN (yes-no) experiments which simulat...

objective: transitional cell carcinoma (tcc) of the urinary bladder is the second common cancer of the genitourinary tract. several parameters such as clinical and pathological parameters, molecular factors, and etc play a role in determination of prognosis and type of treatment. in this research study, the relationship between grade and mdm2 oncoprotein overexpression in tcc of bladder was eva...

i.p.s. hypergroups are canonical hypergroups such that$[forall(a,x),a+xni x]longrightarrow[a+x=x].$i.p.s. hypergroups were investigated in [1], [2], [3], [4] and it was proved thatif the order is less than 9, they are strongly canonical (see [13]). in this paperwe obtain the sequences of fuzzy sets and of join spaces determined (see [8])by all i.p.s. hypergroups of order seven. for the meaning ...