The Dombi operations of T-norm and T-conorm introduced by Dombi can have the advantage of good flexibility with the operational parameter. In existing studies, however, the Dombi operations have so far not yet been used for neutrosophic sets. To propose new aggregation operators for neutrosophic sets by the extension of the Dombi operations, this paper firstly presents the Dombi operations of s...

This small chapter presents an approach providing fast reduction of total ignorance in the process of target identification. It utilizes the recently defined fusion rule based on fuzzy T-conorm/Tnorm operators, as well as all the available information from the adjoint sensor and additional information obtained from the a priori defined objective and subjective considerations, concerning relatio...

—In [2], I. B. Turksen looked at the Booleandisjunctive normal form of a term in two variables and the Boolean-conjunctive normal form of that term. He concluded that “for some cases of certain families,” when these forms are interpreted in a De Morgan system by replacing the meet by a t-norm and the join by the dual t-conorm, the disjunctive normal form is contained in the conjunctive normal f...

There is given an overview on the results related to the generalization of the decision theory to non probabilistic uncertainty based on the characterization of the families of operations involved in generalized mixtures. It turns out that this is based on a previous result on the characterization of the pair of continuous t-norm T and t-conorm S such that the former is conditionally distributi...

In this paper the equation I(U1(x,y),z) = U2(I(x,z), I(y,z)) for all x,y,z ∈ [0,1] is solved where I is a residual implication defined from a uninorm U , and U1,U2 are a conjunctive and a disjunctive uninorm, respectively. Three cases are considered: i) when U is a t-norm, ii) when U1 is a t-norm and/or U2 is a t-conorm, and iii) the general case when the neutral elements of U,U1 and U2 are in ...

In this paper, we introduce the concept of interval pseudo-homegeneous uninorms. We extend the concept of pseudo-homogeneity of specific functions for interval pseudo-homogeneous functions. It is studied two cases of interval pseudo-homogeneous uninorms, that is, interval pseudo-homogeneous tnorms and interval pseudo-homogeneous t-conorms. It is proved a form of interval pseudo-homogeneous t-no...

In this paper, we deal with the invertible elements in a complete intuitionistic fuzzy pseudo normed algebra (in short, IFPNA) respect to Archimedean t-norm and t-conorm. It is done by studying continuity of algebraic operations IFPNA investigating condition for existence inverse an element IFPNA. Also some properties are studied. observed that set open set.

This paper proposes a fuzzy abductive inference with degrees of manifestation. The fuzzy logic is applied to Peng and Reggia's abductive inference for handling the manifestation degrees. This method infers irredundant combinations of candidates with degrees of belief for the manifestations. Learning algorithm for updating the fuzzy causations and t-conorm parameter is also presented in this pap...