A general model of judgment aggregation is presented in which judgments on propositions are not binary but come in degrees. The primitives of the model are a set of propositions, an entailment relation, and a “triangular norm” which establishes a lower bound on the degree to which a proposition is true whenever it is entailed by a set of propositions. Under standard assumptions, we identify a n...

This article investigates the adaptive fuzzy control design for p-norm stochastic high-order lower triangular nonlinear systems with output constraints and unknown nonlinearities. First of all, a tan-type barrier Lyapunov function (BLF) is constructed to deal constraint issue. Subsequently, an algorithm developed by combining BLF adding power integrator technique. Simultaneously, analysis shows...

A carefully designed procedure is presented to modify the piecewise constant strain field of linear triangular FEM models, and to reconstruct a strain field with an adjustable parameter a. A novel Galerkin-like weakform derived from the Hellinger–Reissner variational principle is proposed for establishing the discretized system equations. The new weak form is very simple, possesses the same goo...

In this contribution, we first introduce the concept of metrical T-norm-based similarity measure for hesitant fuzzy sets (HFSs) {by using the concept of T-norm-based distance measure}. Then,the relationship of the proposed {metrical T-norm-based} similarity {measures} with the {other kind of information measure, called the metrical T-norm-based} entropy measure {is} discussed. The main feature ...

We consider non-additive measures on the compact Hausdorff spaces, which are generalizations of idempotent and max-min measures. These related to continuous triangular norms they defined as functionals spaces functions from a space into unit segment.The obtained (called ∗-measures, where ∗ is norm) endowed with weak* topology. This construction determines functor in category spaces. It proved, ...

Bipolar max-? equations, with ? a triangular norm, have recently become popular research topic embedded in the broad field of fuzzy relational equations. In this paper, we lift work from restrictive setting real unit interval — obfuscating underlying lattice-theoretical essence to general complete distributive symmetric residuated lattices, allowing build upon vast body knowledge on unipolar su...

The triangular linguistic cubic fuzzy sets (TLCFSs) can express the data easily and is also very useful in modeling of uncertain decision making (DM) problems. First all, on basis Dombi t-norm t-conorm (DTT), we propose novel operational rules numbers (TLCFNs). We some new aggregation operators TLCFNs based newly developed operations, i.e., weighted averaging (TLCFDWA), geometric (TLCFDWG), ord...

An approach to control the profiles of interstory drift ratios along height building structures via topology optimization is proposed herein. The theoretical foundation involves solving a min–max problem suppress maximum ratio among all stories. Two formulations are suggested: one inherits bound formulation and other utilizes p-norm function aggregate individual ratios. methodology can shape in...

in this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. this paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (st) decomposition. by this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix s and a fuzzy triangular matrix t.

jahanshahloo has suggested a method for the solving linear programming problems with zero-one variables‎. ‎in this paper we formulate fully fuzzy linear programming problems with zero-one variables and a method for solving these problems is presented using the ranking function and also the branch and bound method along with an example is presented.