The Hamacher t-norm is strict if and only if p < +∞ (for p = 1 it is the product t-norm). The family is strictly decreasing and continuous with respect to p. An additive generator of for p < +∞ is = {= + Frank t-norms. The family of Frank t-norms, introduced by M.J ... See more In mathematics, t-norms are a special kind of binary operations on the real unit interval [0, 1]. Various constructions of t-norms, either by explicit definition or by transformation from previously known functions, provide a … See more The ordinal sum constructs a t-norm from a family of t-norms, by shrinking them into disjoint subintervals of the interval [0, 1] and completing the … See more • T-norm • T-norm fuzzy logics See more The method of constructing t-norms by generators consists in using a unary function (generator) to transform some known binary … See more Many families of related t-norms can be defined by an explicit formula depending on a parameter p. This section lists the best known … See more The construction of t-norms by rotation was introduced by Sándor Jenei (2000). It is based on the following theorem: Let T be a left-continuous t-norm without zero divisors, N: [0, 1] → [0, 1] the function that assigns 1 − x to x and t = 0.5. Let T1 be the linear … See more WebThe Hamacher t-norm and t-conorm are two important types of operations that may be used to simulate the intersection and union of various fuzzy sets [51]. A wide variety of extended Hamacher ...
Assessment of the Business Proposals Using Frank Aggregation ... - Hindawi
Web1. New operational rules, the Hamacher operational rules of LNNs are proposed. Based on them, the Hamacher aggregation operators are extended to LNNs and major properties are justified. They are general and flexible family of continuous triangular norms, and can be regarded as the generalization of Algebraic and Einstein t-norm and t-conorm. 2. WebApr 23, 2024 · First, the extended Hamacher t-norm and s-norm, which are applicable to linguistic information environment, are applied to define the linguistic interval-valued intuitionistic fuzzy Hamacher ... nothing says christmas like
Linguistic neutrosophic Hamacher aggregation operators and the …
WebDrastic t-conorm; dual to the drastic t-norm, is the largest t-conorm (see the properties of t-conorms below). Nilpotent maximum, dual to the nilpotent minimum: Einstein sum … WebJan 1, 2005 · Comparing between the Frank t-norms and the Hamacher t-norms up to an extent, Sarkoci [26] concluded that two different t-norms belong to the same family. Xing … WebThe Hamacher t-norm and t-conorm are two important types of operations that may be used to simulate the intersection and union of various fuzzy sets [51]. A wide variety of … nothing says home like the smell of baking