In this article, we propose a method to deal with incomplete interval-valuedhesitant fuzzy preference relations. For this purpose, an additivetransitivity inspired technique for interval-valued hesitant fuzzypreference relations is formulated which assists in estimating missingpreferences. First of all, we introduce a condition for decision makersproviding incomplete information. Decision maker...

Symptoms examined in a level 1 assessment In the report The Standardisation of Terminology of Lower Urinary Tract Function, Abrams at al (2002) divide lower urinary tract symptoms (LUTs) into three groups: ■ Storage symptoms – experienced when urine is stored in the bladder. These include increased daytime frequency and nocturia (Box 1); ■ Voiding symptoms – these include a slow urinary stream,...

Assuming string theorists will not soon provide a compelling case for the primary theory underlying particle physics, the field will proceed as it has historically: with data stimulating and testing ideas. Ideally the soft supersymmetry breaking Lagrangian will be measured and its patterns will point to the underlying theory. But there are two new problems. First a matter of principle: the theo...