The collection of Hamacher t-norms was created by in 1970, which played a critical and significant role computing aggregation operators. All operators that are derived based on norms very powerful beneficial because the parameter 0≤ζ≤+∞. Choquet first posited theory integral (CI) 1953, is used for evaluating awkward unreliable information to address real-life problems. In this manuscript, we an...

In Mixed Fuzzy Rule Formation [Int. J. Approx. Reason. 32 (2003) 67] a method to extract mixed fuzzy rules from data was introduced. The underlying algorithm’s performance is influenced by the choice of fuzzy t-norm and t-conorm, and a heuristic to avoid conflicts between patterns and rules of different classes throughout training. In the following addendum to [Int. J. Approx. Reason. 32 (2003)...

Introduction. Clustering problems arise in various spheres of human activity. In cases where there are no initial data sufficient for statistical analysis or information obtained from experts is used, fuzzy models proposed that take into account different types uncertainty and more argumentatively reflect real situations model systems purposes. Particular attention drawn to invariance with meas...

DevOps (“development and operations”) is a dominant collaborative organizational effort to computerize simultaneously the supply of software strategy with theme enhance features. The usage technique not an easy task as there various vagueness involved it. main goal this analysis employ Frank t-norm t-conorm (which accommodating class norms conorms due parameters become more flexib...

A generalized form of union and intersection on FFS can be formulated from a t-norm (TN) t-conorm (TCN). Hamacher operations such as product sum are good alternatives to produce sum. The generate more flexible accurate results in decision-making process due the working parameter involved these operations. intuitionistic fuzzy set, briefly IFS its extension involving Pythagorean set (PFS) Fermat...

This chapter may look like a glossary of the fusion rules and we also introduce new ones presenting their formulas and examples: Conjunctive, Disjunctive, Exclusive Disjunctive, Mixed Conjunctive-Disjunctive rules, Conditional rule, Dempster’s, Yager’s, Smets’ TBM rule, Dubois-Prade’s, DezertSmarandache classical and hybrid rules, Murphy’s average rule, Inagaki-LefevreColot-Vannoorenberghe Unif...

Triangular norms in the study of probabilistic metric spaces as a special kind of associative functions defined on the unit interval. These functions have found applications in many areas since then. In this study, we present new methods for constructing triangular norms and triangular conorms on an arbitrary bounded lattice under some constraints. Also, we give some illustrative examples for t...

This presentation may look like a glossary of the fusion rules and we also introduce new ones presenting their formulas and examples: Conjunctive, Disjunctive, Exclusive Disjunctive, Mixed Conjunctive-Disjunctive rules, Conditional rule, Dempster's, Yager's, Smets' TBM rule, Dubois-Prade's, Dezert-Smarandache classical and hybrid rules, Murphy's average rule, Inagaki-Lefevre-Colot-Vannoorenberg...

Let F be a field containing a primitive pth root of unity, and let U be an open normal subgroup of index p of the absolute Galois group GF of F . Using the Bloch-Kato Conjecture we determine the structure of the cohomology group H(U, Fp) as an Fp[GF /U ]-module for all n ∈ N. Previously this structure was known only for n = 1, and until recently the structure even of H(U, Fp) was determined onl...

the traditional fuzzy operators, such as t-norms, t-conorms and averaging operators have been used for soil suitability evaluation to aggregate criteria as an overall suitability index. however, such operators do not account for the degree of compensation common to human aggregation criteria, especially in the presence of conflicting criteria. fuzzy integrals are powerful and flexible aggregati...