Results 1  10
of
3,247
17 A Family of Multivalued tnorms and tconorms
"... Summary. Given a lattice (X, ≤, ∧, ∨) we define a multivalued operation ∧ Q which is analogous to a tnorm (i.e. it is commutative, associative, has one as a neutral element and is monotone). The operation is parametrized by the set Q, hence we actually obtain an entire family of such multivalued ..."
Abstract
 Add to MetaCart
tnorms. Similarly we define a family of multivalued tconorms ∨ P. We show that, when P, Q are chosen appropriately, ∧ Q, ∨ P (along with a standard negation) form a de Morgan pair. Furthermore ∧ Q, ∨ P are order generating and (X, ≤, ∧ Q, ∨ P) is a superlattice, i.e. a multivalued analog of a
Multivalued tNorms and tConorms
"... We present a procedure for constructing multivalued tnorms and tconorms. Our construction uses a pair of singlevalued tnorms and the pair of dual tconorms to construct intervalvalued tnorms ⊓ and tconorms ⊔. In this manner we can combine desirable characteristics of different tnorms and t ..."
Abstract
 Add to MetaCart
We present a procedure for constructing multivalued tnorms and tconorms. Our construction uses a pair of singlevalued tnorms and the pair of dual tconorms to construct intervalvalued tnorms ⊓ and tconorms ⊔. In this manner we can combine desirable characteristics of different tnorms and tconorms
Reducing TNorms and Augmenting TConorms
, 2002
"... We study here how to reduce a tnorm by subtracting a value (computed by a function). We obtain a general form of an operator that we call the reduced tnorm. We study this operator and some interesting generalization properties. We also investigate some interesting particular cases. We complete ..."
Abstract
 Add to MetaCart
We study here how to reduce a tnorm by subtracting a value (computed by a function). We obtain a general form of an operator that we call the reduced tnorm. We study this operator and some interesting generalization properties. We also investigate some interesting particular cases. We
18 The Construction of Fuzzyvalued tnorms and tconorms
"... Summary. In this paper we present a method to construct fuzzyvalued tnorms and tconorms, i.e. operations which map pairs of lattice elements to fuzzy sets, and are commutative, associative and monotone. The fuzzyvalued tnorm and tconorm are synthesized from their αcuts which are obtained from ..."
Abstract
 Add to MetaCart
from families of multivalued tnorms and tconorms. We are interested in generalizations of the concepts of tnorm and tconorm. In a companion chapter in this volume [14] we have presented a family of hypertnorms ∧q and a family of hypertconorms ∨p. The prefix hyper is used to indicate multivalued
Quasi Conjunction, Quasi Disjunction, Tnorms and Tconorms: Probabilistic Aspects
"... We make a probabilistic analysis related to some inference rules which play an important role in nonmonotonic reasoning. In a coherencebased setting, we study the extensions of a probability assessment defined on n conditional events to their quasi conjunction, and by exploiting duality, to their q ..."
Abstract
 Add to MetaCart
, to their quasi disjunction. The lower and upper bounds coincide with some well known tnorms and tconorms: minimum, product, Lukasiewicz, and Hamacher tnorms and their dual tconorms. On this basis we obtain Quasi And and Quasi Or rules. These are rules for which any finite family of conditional events p
Generalizing Leximin to tnorms and tconorms
 the LexiT and LexiS Orderings, Fuzzy Sets and Systems
"... of [0; 1] n. It is based on the min tnorm. It …rst compares two tuples with respect to their smallest value. If these values are not equal, it indicates the tuple producing the larger of these values as being preferred. If they are equal, then it looks to the second largest argument value, and repe ..."
Abstract

Cited by 2 (2 self)
 Add to MetaCart
of [0; 1] n. It is based on the min tnorm. It …rst compares two tuples with respect to their smallest value. If these values are not equal, it indicates the tuple producing the larger of these values as being preferred. If they are equal, then it looks to the second largest argument value
Multivalued Connectives for Fuzzy Sets
, 2003
"... We present a procedure for the construction of multivalued tnorms and tconorms. Our procedure makes use of a pair of singlevalued tnorms and the respective dual tconorms and produces intervalvalued tnorms ⊓ and tconorms ⊔. In this manner we combine desirable characteristics of different tn ..."
Abstract
 Add to MetaCart
We present a procedure for the construction of multivalued tnorms and tconorms. Our procedure makes use of a pair of singlevalued tnorms and the respective dual tconorms and produces intervalvalued tnorms ⊓ and tconorms ⊔. In this manner we combine desirable characteristics of different tnorms
Inverse Acoustic and Electromagnetic Scattering Theory, Second Edition
, 1998
"... Abstract. This paper is a survey of the inverse scattering problem for timeharmonic acoustic and electromagnetic waves at fixed frequency. We begin by a discussion of “weak scattering ” and Newtontype methods for solving the inverse scattering problem for acoustic waves, including a brief discussi ..."
Abstract

Cited by 1072 (45 self)
 Add to MetaCart
Abstract. This paper is a survey of the inverse scattering problem for timeharmonic acoustic and electromagnetic waves at fixed frequency. We begin by a discussion of “weak scattering ” and Newtontype methods for solving the inverse scattering problem for acoustic waves, including a brief
Multivalued Color Representation Based on Frank tnorm Properties
"... In this paper two knowledge representation models are proposed, FP4 and FP6. Both combine ideas from fuzzy sets and fourvalued and hexavalued logics. Both represent imprecise properties whose accomplished degree is unknown or contradictory for some objects. A possible application in the color analy ..."
Abstract
 Add to MetaCart
In this paper two knowledge representation models are proposed, FP4 and FP6. Both combine ideas from fuzzy sets and fourvalued and hexavalued logics. Both represent imprecise properties whose accomplished degree is unknown or contradictory for some objects. A possible application in the color
On sensible fuzzy ideals of BCKalgebras with respect to tconorms
 J. Math. Math. Sci
"... We introduce the notion of sensible fuzzy ideals of BCKalgebras with respect to a tconorm and investigate some of their properties. We give the conditions for a sensible fuzzy subalgebra with respect to a tconorm to be a sensible fuzzy ideal with respect to a tconorm. Some properties of the dir ..."
Abstract

Cited by 2 (1 self)
 Add to MetaCart
We introduce the notion of sensible fuzzy ideals of BCKalgebras with respect to a tconorm and investigate some of their properties. We give the conditions for a sensible fuzzy subalgebra with respect to a tconorm to be a sensible fuzzy ideal with respect to a tconorm. Some properties
Results 1  10
of
3,247