Linguistic hedges and the generalized modus ponens

A label semantics approach to linguistic hedges

“…This second view is useful in approximate reasoning, and allows for an algebraic approach to investigating the properties of linguistic hedges, as introduced in [32], and expanded upon in [5,12,15]. The approach we take, however, is to view a hedge as modifying the fuzzy set associated with a concept directly, as taken by [2,4,9,24]. Rather than examining the algebraic properties of hedges or their role in reasoning, we look at how hedges are semantically grounded and argue that our approach provides a particularly clear semantics.…”

“…Dilating the set as described in [2] gives the set E Z (F ) = (1, 3.5, 6. 5,9). Concentrating the set as described results in the set E Z (F ) = (3, 4.5, 5.5, 7)…”

Formal theories and linguistic descriptions

“…The following refernces are provided to give the wider spectrum of literature which deals with the ÿeld of deduction in fuzzy logic: [1,2,3,4,6,7,9,13,19,21,22] …”

Generalized Modus Tollens with Linguistic Modifiers for Inverse Approximate Reasoning

“…Studied in [10][11][12][13][14][15] are new generalized modus ponens based on linguistic modifiers for approximate reasoning with linguistic modifiers, but the computation and application are complicated. In [9,10], we studied new generalized modus ponens with linguistic modifiers for If…Then rules in linguistic many valued-logic and its application for forward approximate reasoning.…”